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Question
Factorise the following expression.
a3x – x4 + a2x2 – ax3
Solution
We have,
a3x – x4 + a2x2 – ax3
= x(a3 – x3 + a2x – ax2)
= x(a3 + a2x – x3 – ax2)
= x[a2(a + x) – x2(x + a)]
= x[(x + a)(a2 – x2)]
= x(a2 – x2)(a + x)
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