Math, asked by diyainsh12109, 9 months ago

тнє whσ αnѕwєr ít fírѕt wíll вє mαrkєd αѕ вrαíníєѕt!!!!

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Answered by Anonymous

12

$\color{red}\large\underline{\underline{Question:}}$

$x^{2} + 5x + 6$
$x^{2} - 3x + 2$
$y^{2} - 11y + 24$
$2x^{2} + x - 15$

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$\color{purple}\large\underline{\underline{To\:Find:}}$

$\underline{The\:Factorization\:of\:</p><p>the\:Equations}$

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$\color{blue}\large\underline{\underline{Concept:}}$

$\underline{By\:using\:middle-splitting\: theorem}$

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$\color{green}\large\underline{\underline{Solution:}}$

$x^{2} + 5x + 6$

$\Rightarrow x^{2} + (3 + 2)x + 6$

$\Rightarrow x^{2} + 3x + 2x + 6$

$\Rightarrow x(x + 3) + 2(x + 3)$

$\Rightarrow (x + 3)(x + 2)$

$\blue{\boxed{\therefore Ans\:is\:(x + 3)(x + 2)}}$

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$x^{2} - 3x + 2$

$\Rightarrow x^{2} - (2 + 1)x + 2$

$\Rightarrow x^{2} - 2x - 1x + 2$

$\Rightarrow x(x - 2) - 1(x - 2)$

$\Rightarrow (x - 2)(x - 1)$

$\blue{\boxed{\therefore Ans\:is\:(x - 2)(x - 1)}}$

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$y^{2} - 11y + 24$

$\Rightarrow y^{2} - (8 + 3)y + 24$

$\Rightarrow y^{2} - 8y - 3y + 24$

$\Rightarrow y(y - 8) - 3(y - 8)$

$\Rightarrow (y - 8)(y - 3)$

$\blue{\boxed{\therefore Ans\:is\:(x - 8)(x - 3)}}$

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$2x^{2} + x - 15$

$\Rightarrow 2x^{2} + (6 - 5)x - 15$

$\Rightarrow 2x^{2} + 6x - 5x - 15$

$\Rightarrow 2x(x + 3) - 5(x + 3)$

$\Rightarrow (x + 3)(2x - 5)$

$\blue{\boxed{\therefore Ans\:is\:(x + 3)(2x - 5)}}$

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Answered by Anonymous

6

$\huge\mathfrak\color{red}{Answer}$

$\rule{200}3$

1》 ${x}^{2} + 5x + 6$

${x}^{2} + 3x + 2x + 6$

$x(x + 3) + 2(x + 3)$

$(x + 3)(x + 2)$

$\rule{200}3$

2》 ${x}^{2} - 3x + 2$

${x}^{2} - x - 2x + 2$

$x(x - 1) - 2(x - 1)$

$(x - 1)(x - 2)$

$\rule{200}3$

3》 ${y}^{2} - 11y + 24$

${y}^{2} - 3y - 8y + 24$

$y(y - 3) - 8(y - 3)$

$(y - 3)(y - 8)$

$\rule{200}3$

4》 ${2x}^{2} + x - 15$

${2x}^{2} + 6x - 5x - 15$

$2x(x + 3) - 5(x + 3)$

$(x + 3)(2x - 5)$

$\rule{200}3$

$<body bgcolor=white><marquee direction="up"><font color=red>$ hope it helps you.....✌✌

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