Question

Factorize: 4x^2+ 20x +25

Answer 1

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Answer 2

Method 1 :

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

${4x}^{2} + 20x + 25 \\ {4x}^{2} + 10x + 10x + 25 \\ 2x(2x + 5) + 5(2x + 5) \\ (2x + 5)(2x + 5) \\ {(2x + 5)}^{2}$

Method 2 :

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

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

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