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Simplify the expression: -3x2y(4x2 - 5y)

April 14, 2026Mathematics

ScanSolve AI Answer

Answer

-12x^4y + 15x^2y^2

3 steps

To solve the expression, distribute the term $-3x^2y$ to each term inside the parentheses.

Given expression:

-3x^2y(4x^2 - 5y)

Multiply $-3x^2y$ by $4x^2$ .
$(-3x^2y) \times (4x^2) = (-3 \times 4) \times (x^2 \times x^2) \times y$ $= -12x^{2+2}y = -12x^4y$
Multiply $-3x^2y$ by $-5y$ .
$(-3x^2y) \times (-5y) = (-3 \times -5) \times x^2 \times (y \times y)$ $= 15x^2y^{1+1} = 15x^2y^2$
Combine the results from Step 1 and Step 2.
$-12x^4y + 15x^2y^2$