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Debora [2.8K]
4 years ago
7

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

Mathematics
1 answer:
vitfil [10]4 years ago
4 0

\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}
___________________________

\textbf{ \underline{Using identity: }} \underline{ {(a  -  b)}^{2}  =  {a}^{2}  - 2ab +  {b}^{2} }\\  \\  {x}^{2}  - 10x + 25 \\  = {(x)}^{2} - 2 \times 5 \times x +   {(5)}^{2}  \\ =  {(x - 5)}^{2}
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