Question

Factors of (a+2b)2-(a+2b)(3a-7b)

Answer 1

The factorisation of the given expression = (a + 2b)(9b - 2a)

Step-by-step explanation:

The given expression:

$(a+2b)^2$ - (a + 2b)(3a - 7b)

To find, the factorisation of the given expression.

∴ $(a+2b)^2$ - (a + 2b)(3a - 7b)

= (a + 2b)(a + 2b) - (a + 2b)(3a - 7b)

Taking (a + 2b) as common, we get

= (a + 2b)[(a + 2b) - (3a - 7b)]

= (a + 2b)(a + 2b - 3a + 7b)

= (a + 2b)(9b - 2a)

∴ The factorisation of the given expression = (a + 2b)(9b - 2a)

Answer 2

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Factors of (a+2b)2-(a+2b)(3a-7b) = (a + 2b)(9b - 2a)