Question

(x-7)(x+12)





please help me
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Answer 1

Answer:

x^2+12x-7x- 84

x( x+12) -7(x+12)

(x+12) (x-7)

Answer 2

Question :-

Multiply :- (x - 7) (x + 12)

Solution :-

By using the Distributive Law of Multiplication over Addition twice, we get the Product as :

$\begin {aligned}\bold {(x + 12)(x - 7)} & = x \times (x - 7) + 12 \times (x - 7)\\\\& \Rightarrow x^2 - 7x + 12x - 84\\\\& = \bold {x^2 + 5x - 84}\end {aligned}$

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It can also be done by using the Identity, $\boxed {\bold {(x + a)(x + b) = x^2 + (a + b)x + ab}}$,

Where, x = x ; a = -7 ; b = +12

∴ $\begin {aligned} \bold {(x - 7)(x + 12)} & = x^2 + ((-7)+12)x + (-7) \times 12\\\\& \Rightarrow \bold {x^2 + 5x - 84}\end {aligned}$

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