Question

(X+5)^2 – 4(X+5) please answer it​

Answer 1

Step-by-step explanation:

$(x + 5) {}^{2} - 4(x + 5) \\ {x}^{2} + 25 -( 4x + 20) \\ {x}^{2} + 25 - 4x - 20 \\ = x {}^{2} - 4x+ 25 - 20 \\ = {x}^{2} - 4x + 5$

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Answer 2

Given :

$\underline{\sf{(x + 5)}^{2} - 4(x + 5)}$

Formula to be used :

$\sf{a(x + y) = ax + ay}$

$\sf{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Required Solution :

$\implies{\sf{(x + 5)}^{2} - 4(x + 5)}$

$\implies{\sf{(x + 5)}^{2} - 4x +( - \:4 \times 5)}$

${ \implies{\sf \:{x}^{2} +2 \times5x +{5}^{2} - 4x +( - \:20)}}$

${ \implies{\sf \:{x}^{2} +10x +{25} - 4x +( - \:20)}}$

$\sf\implies{x}^{2}+(10x\:−\:4x)+(25 - 20)$

$\boxed{\sf\implies{x}^{2}+6x+5}$

∴ x² + 6x + 5 is the answer.