The correct option is D (x 5)^2 x^2 10x+25 =x^2 2× 5 × nbsp;x+5^2 Using nbsp; a^2+b^2 2ab= nbsp;(a b)^2 =(x 5)^2 ...

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(a + b)^2 Expansion and Visualisation

Factorise: x...

Question

Factorise:
$x^{2} - 10 x + 25$

(x + 5)^{3}

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(x - 3)^{3}

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(x - 3)^{2}

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(x - 5)^{2}

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Solution

The correct option is D $(x - 5)^{2}$
$x^{2} - 10 x + 25$
$= x^{2} - 2 \times 5 \times x + 5^{2}$
Using $a^{2} + b^{2} - 2 a b = (a - b)^{2}$
$= (x - 5)^{2}$

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Similar questions

Factorise: $x^{2} + 10 x + 25$

x^{2} + 10 x + 25

\frac{x^{2} + 5 x + 7}{(x - 3)^{3}} = \frac{A}{x - 3} + \frac{B}{(x - 3)^{2}} + \frac{C}{(x - 3)^{3}} \Rightarrow A =

\frac{x^{2} + 10 x + 25}{(x + 5)^{4}}

{x^{2} + 10 x + 25} \div (x + 5)

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