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
pickupchik [31]
3 years ago
5

Factor the following: 1. 5(a+3)²- (a+3 2. p²- 6 - q · (p²- 6)²

Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

1. (a + 3)(5a-14)

2. (p^2-6)[1-q(p^2-6)]

Step-by-step explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression. 5(a + 3)^2- (a + 3) remains as:

(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)

2. The first thing to do to factor the expression is to take the expression  p^2 -6 as its common factor with its lowest exponent.

Then the expression p^2- 6 - q(p^2- 6)^2 remains as:

(p^2-6)[1-q (p^2-6)]

You might be interested in
The graph of g is the graph of f translated horizontally 3 units to the left. If f(x) = 2x + 1 what is an equation for the funct
mart [117]

Answer: g(x) = 2(x + 3) + 1

Step-by-step explanation:

When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:

g(x) = f(x - A)

If the translation is to the left, then we have:

g(x) = f(x + A).

In this case, we have a translation to the left, and A = 3, then:

g(x) = f(x + 3)

And we know that:

f(x) = 2x + 1

g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7

g(x) = 2x + 7

8 0
3 years ago
The sentence 3+(5+2)=(5+2)+3 illustrates
Afina-wow [57]
B: The associate property of addition.
8 0
3 years ago
Read 2 more answers
99 POINTS AND BRAINLIEST ONLY IF YOU EXPLAIN YOUR ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!1
g100num [7]
This is a histogram, write out the numbers each time there is an x.
27, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 33, 34
for median cross off the sides till you get to the middle
median = 30
3 0
4 years ago
Read 2 more answers
Michelle compares 5.8 x 106and 2.32 x 107. What steps could she use to compare the two numbers?
GalinKa [24]

Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

6 0
3 years ago
Choose the definition for the function
uysha [10]

Answer:

The answer is C.

Step-by-step explanation:

The first line's slope is 2x and it y-intercept is 4. The second line's slope is simple 1x or just x (they are both the same).

4 0
4 years ago
Other questions:
  • Solve for X
    14·2 answers
  • Quick response please
    7·1 answer
  • For model 5, the tip of the blade travels 0.18 miles what is the approximate speed
    12·1 answer
  • Use the card collection box-and-whisker plot to solve.
    7·1 answer
  • How to write (4) (-2) in word form
    10·2 answers
  • What is a common denominator for 2, 4, 5, 3?
    9·2 answers
  • What is 56x2<br> Just a regular normal question from me<br> Your welcome in advance
    13·1 answer
  • 2 + (8 - 2)(32+5(1 +2)
    13·2 answers
  • What are the zeros of the following function ?
    5·1 answer
  • Which equation matches the relationship shown in the table?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!