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Taking x – 5 as common factor we get; (x-5)(x-10) Hence, the factors are (x – 5) and (x – 10). Factoring Using Identities. The factorisation can be done also by using algebraic identities. The
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Example 5 : x 4 - x 3 - x + x 2. Solution : = x 4 - x 3 - x + x 2. Arrange the terms with powers in descending order. = x 4 - x 3 + x 2 - x = (x 4 - x 3) + (x 2 - x) = x 3 (x - 1) + x(x - 1) = (x 3 + x)(x - 1)
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