Question

facotrise -x^2+7x-10​

Answer 1

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$\rm \longrightarrow \: - {x}^{2} + 7x - 10 \\ \\ \rm \longrightarrow \: - {x}^{2} + 5x + 2x - 10 \\ \\ \rm \implies \: - x(x - 5) + 2(x - 5) \\ \\ \rm \implies \: (x - 5)( - x + 2) \\ \\ \rm \implies \pink{(x - 5)(2 - x)}$

Answer 2

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$\rm \longrightarrow \: - {x}^{2} + 7x - 10 \\ \\ \rm \longrightarrow \: - {x}^{2} + 5x + 2x - 10 \\ \\ \rm \implies \: - x(x - 5) + 2(x - 5) \\ \\ \rm \implies \: (x - 5)( - x + 2) \\ \\ \rm \implies \pink{(x - 5)(2 - x)}$