1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gelneren [198K]
3 years ago
14

Please help to solve this problemfactorize:(1 - a^2) (1 - b^2) + 4ab​

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

  • (1 - a²) (1 - b²) + 4ab​=
  • 1 -a²-b² +a²b² +4ab =
  • (a²b² +2ab +1 )- (a²-2ab+b²)=
  • (ab+1)² - (a-b)²=
  • (ab+1 +a-b)(ab+1 -a+b)=
  • (ab+a-b+1)(ab-a+b+1)

You might be interested in
Mathematics hockey goals and assists each count as one point. anthony's ratio of goals to assists is 2:5. last season he collect
rosijanka [135]

Answer:

option c 26

Step-by-step explanation:

3 0
2 years ago
PLZZZ HELP ASAP 50 POINTS!!!!
Ilya [14]
1- the answer is b and d 2- the answer is a and b 3- the answer is b

6 0
3 years ago
Read 2 more answers
Click the photo to find the measure of each interior angle of the regular polygon
Scorpion4ik [409]
<h3>Answer:  120 degrees</h3>

==============================================

Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

-----------------

Alternative Approach:

E = exterior angle

E = 360/n

E = 360/6

E = 60

Each exterior angle of this regular hexagon is 60 degrees

i+E = 180

i = 180-E

i = 180-60

i = 120

We get the same answer.

3 0
3 years ago
Write an equation that is the sum of the first
lana66690 [7]
Idk tbh so I’m sorry guys lmso
7 0
3 years ago
1. which data set represents an increasing, linear function? (1 point)
GenaCL600 [577]
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1)  If the data set is linear, the slope will be constant throughout the entire data set.  For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set.  The set is also increasing; as x increases, y increases as well.

#2)  Substituting 4 for y and 1 for x, 
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t.  Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term.  If the common difference is 2, this means that 2 was added each time.  This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

Add 5 to both sides:
6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope.  The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped).  The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2.  The only one with this slope is D.

#16)  The two equations are not the same, so there are not infinitely many solutions.  The variables do not both cancel, so there is at least one solution.  This only leaves one solution as the answer.

#19)  Using 1 for 7 and 4 for x, we check each equation.  The only one that comes out correct is D.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A submarine starts at the surface of the water and travels to the bottom, a depth of 4000 feet. Graph A shows its distance from
    7·2 answers
  • The eurasian plate travels the slowest, at about 0.7 cm/y. How long would it take the plate to travel 3 cm?
    5·1 answer
  • The product of a number and 4 increased by 16 is -2
    12·1 answer
  • Graph the linear equation x-3y=-6
    15·2 answers
  • The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0? x = –6 or x = StartFraction 1 Over 4 EndFraction x = –
    10·2 answers
  • 2/3(x+6)=-18 what is the value of x
    7·1 answer
  • HELP!!!!
    7·1 answer
  • Find the angle measures for this isosceles triangle.
    15·1 answer
  • The image of A(-1,3) under the translation T 2,1
    9·1 answer
  • Someone please help! im kinda in a rush
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!