Question

(a+4)²-11(a+4)- 42 factorize ​

Answer 1

`(a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)`

Answer 2

(a - 10) (a + 7)

Explanation:

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⠀⠀⠀⠀□ Question

(a + 4)² - 11(a + 4) - 42

Fractorize

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⠀⠀⠀⠀■ Solution

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• Let (a + 4) = x

So the equation will be

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`\sf \large {x}^(2) - 11x - 42`

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• Using spitting the middle term method.

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`\sf {x}^(2) - 14x + 3x - 42`

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• Taking common

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`\sf x(x - 14) + 3(x - 14)`

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`\sf (x - 14)(x + 3)`

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• Putting value of 'x'

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`\sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} }`

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