12. What is the missing term needed to complete the statement below? 64x³+27y³ = (4x + 3y)(-12xy +9y²) A. x² B. 4x² C. 8x² D. 16x²

asked Jun 23, 2023 103k views

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12. What is the missing term needed to complete the statement below?

64x³+27y³ = (4x +
3y)(-12xy +9y²)
A. x²
B. 4x²
C. 8x²
D. 16x²

by ARich

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6 votes

Answer:

Hello,

Answer D: 16x²

Explanation:

$64x^3+27y^3\\\\=(4x)^3+(3y)^3\\\\=(4x+3y)((4x)^2-4x*3y+(3y)^2)\\\\=(4x+3y)(16x^2-12xy+9y^2)\\$