Question

Factorise the following expression by splitting the middle term

X²+7x+10​

Answer 1

$\huge \mathbb\fcolorbox{black}{lavender}{Answer♡}$

Step-by-step explanation:

${x}^{2} + 7x + 10 \\ {x}^{2} + (2 + 5)x + 10 \\ {x}^{2} + 2x + 5x + 10 \\ x(x + 2) + 5(x + 2) \\ (x + 2)(x +5)$

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Answer 2

Answer:

${x}^{2} + 7x + 10 \\ \\ {x}^{2} + 2x + 5x + 10 \\ \\ = x(x + 2) + 5(x + 2) \\ \\ (x + 2)(x + 5) \\ \\ x = - 2 \\ \\ x = - 5$