factorise 16x^5-256x^3
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Step-by-step explanation:
Factor 16x216x2 out of 16x416x4.
16x2(x2)−256x216x2(x2)-256x2
Factor 16x216x2 out of −256x2-256x2.
16x2(x2)+16x2(−16)16x2(x2)+16x2(-16)
Factor 16x216x2 out of 16x2(x2)+16x2(−16)16x2(x2)+16x2(-16).
16x2(x2−16)16x2(x2-16)
Rewrite 1616 as 4242.
16x2(x2−42)16x2(x2-42)
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=xa=x and b=4b=4.
16x2((x+4)(x−4))16x2((x+4)(x-4))
Remove unnecessary parentheses.
16x2(x+4)(x−4)
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