5. What is the factored form of 8x3 + 27y3?
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5. What is the factored form of 8x3 + 27y3?
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Answer:
(2x + 3y)(4x^2 - 6xy + 9y^2)
Why and How?
First, you should find the cube root of 8x^3 and 27y^3
Here's their cube root:
8x^3 = 2x
27y^3 = 3y
Second, use this format: (a+b)(a^2 - ab + b^2) which is:
a = 2x and b = 3y
so:
= (a+b)(a^2 - ab + b^2)
= (2x + 3y)([2x]^2 - [2x][3y] + [3y]^2)
= (2x + 3y)(4x^2 - 6xy + 9y^2)
Step-by-step explanation:
Answer: