Question

factorise:
${x}^{2} + 20x + 100 = 0$
​

Answer 1

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-factorise:

${x}^{2} + 20x + 100 = 0$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⟹ {x}^{2} + 20x + 100 = 0$

$⟹ {x}^{2} + 10x + 10x + 100 = 0$

$⟹x(x + 10) + 10(x + 10)$

$⟹(x + 10)(x + 10)$

$⟹x = - 10 \: and \: x = - 10$

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

$\huge\sf{\pink{\underline{\underline {Answer}}}}$

${x}^{2} + 20x + 100$

${x}^{2} + 2 \times x \times 10 + {(10)}^{2}$

$\large\mathfrak\color{red}{using \: identity}$

$\bf\color{red}{(x + y) {}^{2} } = {x}^{2} + 2xy + {y}^{2}$

${(x + 10)}^{2}$

$(x + 10)(x + 10)$