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Factorize each of the following algebraic expressions: 49 - a^2 + 8ab - 16b^2

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Factorize each of the following algebraic expressions:

49 - a2 + 8ab - 16b2

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49 – (a2 – 8ab + 16b2)

= 49 – (a – 4b)2

We know: a2 – b2 = (a + b)(a-b)

= (7 + a – 4b) (7 – a + 4b)

= - (a – 4b + 7) (a – 4b – 7)

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