Question

factorise :(x^ -7x+30) , (x^2+27-90)

Answer 1

Answer:

Step-by-step explanation:

1) x²-7 x-30

⇒x²+3 x-10 x-30

⇒x(x+3)-10(x+3)

⇒(x+3)(x-10)

2)x²+27-90

⇒x²-3 x+30 x -90

⇒x(x-3)+30(x-3)

⇒(x-3)(x+30)

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Answer 2

${x}^{2} - 7x - 30 \\ \\ = {x}^{2} - 10x + 3x - 30 \\ \\ = x(x - 10) + 3(x - 10) \\ \\ = (x - 10)(x + 3)$

$\\\\{x}^{2} + 27x - 90 \\ \\ = {x}^{2} + 30x - 3x - 90 \\ \\ = x(x + 30) - 3(x + 30) \\ \\ = (x + 30)(x - 3)$

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