Math, asked by saggukhushmeet, 1 year ago

factorise x3+8+12x+6x2 plz solve this sum

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Answers

Answered by Anonymous
9
Hey mate!

Here's your answer!!
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Given: x³ + 8 + 12x + 6x²

Solution:

➡ (x³ + 8) + 6x (2 + x)

➡ (x + 2) (x² - 2x + 4) + 6x( x + 2)

➡ (x + 2) {x² - 2x + 4 + 6x}

➡ (x + 2) {x² + 4x + 4}

➡ (x + 2) {x² + 2(2)(x) + 2²}

➡ (x + 2) {x + 2}²

➡ (x + 2)³
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\boxed{Hope\:it\:helps\:you!}


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Answered by Noah11
5
Expression=x3+6x2+12x+8

=(x3+8)+6x(x+2)

=(x+2)−−−−−−−(x2−2x+4)+6x(x+2)−−−−−−−

=(x+2){x2−2x+4+6x}

=(x+2)(x2+4x+4)

=(x+2){x2+2(2)(x)+22}

=(x+2)(x+2)2

=(x+2)^3

HOPE IT HELPS!!

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