factorise: x3 - 64y3
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Answer:
(x - 4y)(x^2 + 4xy + 16y^2)
Step-by-step explanation:
x^3 - 64 y^3
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
x^3 - 64 y^3 = (x)^3 - (4y)^3
= (x - 4 y){x^2 + (x)(4y) + (4y)^2}
= (x - 4y)(x^2 + 4xy + 16y^2)
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