Question

Factor the expression below:
X^2-10x+25

Answer 1

`\textbf{ \underline{Using middle term splitting:}} \\ \\ {x}^(2) - 10x + 25 \\ = {x}^(2) - 5x - 5x + 25 \\ = x(x - 5) - 5(x - 5) \\ = (x - 5)(x - 5) \\ = {(x - 5)}^(2)`
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`\textbf{ \underline{Using identity: }} \underline{ {(a - b)}^(2) = {a}^(2) - 2ab + {b}^(2) }\\ \\ {x}^(2) - 10x + 25 \\ = {(x)}^(2) - 2 * 5 * x + {(5)}^(2) \\ = {(x - 5)}^(2)`