Fully simplify.minus, 16, x, cubed, y, squared, left bracket, minus, 4, x, squared, y, to the power 4 , right bracket−16x 3 y 2 (−4x 2 y 4 )
Question
Fully simplify.minus, 16, x, cubed, y, squared, left bracket, minus, 4, x, squared, y, to the power 4 , right bracket−16x 3 y 2 (−4x 2 y 4 )
Solution
The expression you provided is: -16x^3y^2(-4x^2y^4)
Step 1: Distribute -16x^3y^2 to -4x^2y^4
When you multiply -16x^3y^2 and -4x^2y^4, you multiply the coefficients (numbers) and add the exponents of the variables that are the same.
-16 * -4 = 64 x^3 * x^2 = x^(3+2) = x^5 y^2 * y^4 = y^(2+4) = y^6
So, -16x^3y^2(-4x^2y^4) = 64x^5y^6
Therefore, the fully simplified expression is 64x^5y^6.
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