Question

36(a + b)²- 49(a-b)²​

Answer 1

Answer:

36(a+b)²-49(a-b)²

36(a+b)²-49(a-b)²=(13a-b)(-a+13b)

Step-by-step explanation:

36(a+b)²-49(a-b)²

= 6²(a+b)² - 7²(a-b)²

= [6(a+b)]² - [7(a-b)]²

= (6a+6b)² - (7a-7b)²

= [(6a+6b) + (7a-7b)][(6a+6b) - (7a-7b)]

/* By algebraic identity:

x²-y² = (x+y)(x-y) */

= (6a+6b+7a-7b)(6a+6b-7a+7b)

= (6a+7a+6b-7b)(6a-7a+6b+7b)

= (13a-b)(-a+13b)

Therefore,

36(a+b)²-49(a-b)²

=(13a-b)(-a+13b)

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