Question

factorise the expression x²+25x+100
please explain step by step​

Answer 1

Answer:

${x}^{2} + 25x + 10 \\ = {x}^{2} + 20x + 5x + 100 \\ = x(x + 20) + 5(x + 20) \\ = (x + 20)(x + 5)$

Answer 2

Step-by-step explanation:

x² + 25x + 100 = 0

x² + 20x + 5x + 100 = 0

x(x + 20) + 5 (x + 20) = 0

(x + 5)(x + 20) = 0

x + 5 = 0 x + 20 = 0

x = -5 x = -20

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