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Formation of Algebraic Expressions

Factorise: ...

Question

Factorise: $100 - a^{2} - b^{2} - 2 a b$ .

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Solution

$\begin{matrix} 100 - (a^{2} + b^{2} + 2 a b) 10^{2} - {(a + b)}^{2} [10 - (a + b)] [10 + (a + b)] \end{matrix}$

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