Question : Simplify the given expression.
$(5x + 8y)(25x^2 + 64y^2 - 40xy)$
Option 1: $125x^3-512y^3$
Option 2: $25x^3+64y^3$
Option 3: $125x^3+512y^3$
Option 4: $25x^3-64y^3$
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Correct Answer: $125x^3+512y^3$
Solution :
$(5x + 8y)(25x^2+ 64y^2 - 40xy)$
= $(5x+8y)[(5x)^2+ (8y)^2- 5x×8y)]$
= $(5x)^3+(8y)^3$
= $125x^3+512y^3$
Hence, the correct answer is $125x^3+512y^3$.
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