Question

if p =a2 + 2ab + b2, q= a2- 2ab + b2 then find (p+q) and ( p-q) ​

Answer 1

p+q=2a2+2b2

p-q=4ab

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Answer 2

Answer:

(p+q)=2(a²+b²)

(p-q)=4ab

Step-by-step explanation:

p=a²+2ab+b²=(a+b)²

q=a²-2ab+b²

(p+q)=((a+b)²+(a-b)²)

=(a²+2ab+b²+a²-2ab+b²)

=(2a²+2b²)=2(a²+b²)

(p-q)=((a+b)²-(a-b)²)

= (a²+2ab+b²-(a²-2ab+b²))

=(a²+2ab+b²-a²+2ab-b²)

=4ab

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