Which of these is a factor of (p + 2)2 - (p - 2)2? 1 2p 2 p2 3 2p + 4 4 2p - 4 Please answer this question correctly i will mark him/her brainliest
Answers
Step-by-step explanation:
To solve this problem, first you have to find the factors of (p+2)2-(p-2)2 from left to right.
Given:
(p+2)*2-(p-2)*2
(p+2)-2(p-2)
Solutions:
First, expand by using with distributive property.
Distributive Property
A(B+C)=AB+ACA(B+C)=AB+AC
2(p+2)
A=2
B=P
C=2
2p+2*22p+2∗2
Multiply the numbers from left to right.
2*2=42∗2=4
2p+42p+4
Rewrite the whole problem.
2p+4-(p-2)*22p+4−(p−2)∗2
Next, expand.
Solve.
-2(p-2)
A=(-2)
B=P
C=2
-2p-(-2)*2−2p−(−2)∗2
Change negative sign to positive sign.
-(-f)=f−(−f)=f
-2p+2*2−2p+2∗2
Multiply.
2*2=42∗2=4
-2p+4−2p+4
Rewrite the whole problem down.
2p+4-2p+42p+4−2p+4
Solve.
Combined like terms. (group like terms or switch sides.)
2p-2p+4+42p−2p+4+4
Add numbers from left to right.
Add similar elements from left to right numbers.
2p-2p=02p−2p=0
Add.
4+44+4
= 4+4=8
Therefore, the correct answer is 8.
Step-by-step explanation:
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