Question

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Answer 1

Answer:

11. [a+b]2

12. [a-b]2

13. associative law for multiplication

14. a2 - b2

15. x2 + [a+b]x + ab

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Answers:-

.11

a^2+2ab+b^2 = (a+b)^2

Explanation:-

(a+b)(a+b)

=>a^2+ab+ba+b^2

=>a^2+2ab+b^2

12.

a^2-2ab+b^2 = (a-b)^2

(a-b)(a-b)

=>a^2-ab-ba+b^2

=>a^2-2ab+b^2

13

a×(b+c)=(a×b)+(a×c)->associative law in multiplication

if a,b,c are the three numbers then

a×(b+c)=(a×b)+(a×c) is called associative Property

under multiplication

14.

(a+b)(a-b) =a^2-b^2

(a+b)(a-b)

=>a^2+ab-ba-b^2

=>a^2-b^2

15.(x+a)(x+b)=x^2+(a+b)x+ab

(x+a)(x+b)

=>x(x+b)+a(x+b)

=>x^2+bx+ax+ab

=>x^2+(a+b)x+ab