difference of squares means that both the terms are square terms. (also there must be a - symbol)
for example
y^2 - 4
square root of y^2 is y
square root of 4 is +2 as well as -2
so you would factorise it like this:
(y+2)(y-2)
1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.
<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>-2 doesnt have a whole number square root so it is not a difference of squares.
2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.
1 has a square root of +1 and -1.
therefore, this one is a difference of squares. <u>(</u><u>5</u><u>m</u><u>n</u><u>^</u><u>2</u><u> </u><u>+</u><u>1</u><u>)</u><u> </u><u>(</u><u>5</u><u>mn^2</u><u> </u><u>-</u><u>1</u><u>)</u>
3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)
so it is a difference of squares. <u>(</u><u>p</u><u>^</u><u>4</u><u>+</u><u>q</u><u>^</u><u>2</u><u>)</u><u>(</u><u>p</u><u>^</u><u>4</u><u> </u><u>-</u><u>q</u><u>^</u><u>2</u><u>)</u>
4. 16x^2 is a square term as irs square root is 4x.
<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>24 is not a square term.
therefore, it is not a difference of squares.
Answer:
the answer is 27
Step-by-step explanation:
because 45 divided by 5 equals 9
and 9 times 3 equals 27
Answer:
3 centimeters
Step-by-step explanation:
given ratio is
18 km : 1 cm
Now if km is multiplied by 3, the cm should also be multiplied by 3.
=> 18 x 3 : 1 x 3
=> 54 km : 3 cm
Answer:
x = 14/3 - (2 y)/3
Step-by-step explanation:
Solve for x:
3 x + 2 y = 14
Subtract 2 y from both sides:
3 x = 14 - 2 y
Divide both sides by 3:
Answer: x = 14/3 - (2 y)/3
Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: TEAM A
Tammy working alone in 1hr can clean 1/2
Melissa working alone in 1 hr can clean 1/3
working together in 1hr ,let x represent the area they will clean we have
+
= 1/x
⇒ 3 + 2 = 1/x
5 = 1/x
x = 1/5
TEAM B
Santay working alone can clean 1/4
Leticia working alone in 1 hr can clean 4/5
working together in 1 hr ,let y represent the amount they clean, we have
+
= 1/y
4 + 5/4 = 1/y
21/4 = 1/y
y = 4 /21
comparing x and y , 1/5 is greater than 4/21 , therefore Team A is faster