Question

(x+7) (x+3) give me the answer

Answer 1

$\huge{\rm{\green{answer-}}}$

$\huge{ \boxed{ \rm{ \red{identity}}}}$

(x+a)(x+b) = x² + (a + b)x + ab

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Given:

x = x

a = 7

b = 3

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(x+7)(x+3) = x² + (7 + 3)x + 7×3

= x² + 10x + 21

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Answer 2

$\large\tt{ (x+7)(x+3)}$

If we carefully observe ; the given problem is in the form of identity :(x+a)(x+b)

So , we will use the same identity to solve it.

$\longrightarrow{\tt{ Identity\: used : (x+a) (x+b) }}$

x = x

a = 7

b = 3

$\implies{\boxed{\tt{ (x+a)(x+b) = {x}^{2} + (a+b)x + a \times b}}}$

When we put up the values of x , a , b we get :

$\longrightarrow{\tt{ (x+a)(x+b) = {x}^{2} + (7 + 3)x + 7 \times 3}}$

$\implies{\tt{ = {x}^{2} + 10x + 21 }}$

So , the value of (x+7)(x+3) =

$\large\boxed{\tt{ {x}^{2} + 10x + 21}}$