Question

Factorise

${x}^{3} + {x}^{2} - 4x - 4$
​

Answer 1

${x}^{3} + {x}^{2} - 4x - 4$

$= (x ^{3} + {x}^{2} )( - 4x - 4)$

$= {x}^{2} (x + 1) - 4(x + 1)$

$= (x + 1)( {x}^{2} - 4)$

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Answer 2

x³ + x² - 4x - 4

x²(x+1) -4(x+1)

(x+1)(x²-4)

(x+1)[x²-(2)²]

(x+1)(x-2)(x+2) ....[since, a²-b² = (a+b)(a-b)]

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