Question
Simplify the expression
32x8−48x5y2−6y2x3+9y4
Evaluate
(8x3×2x2−3y2)(2x3−3y2)
Multiply
More Steps

Evaluate
8x3×2x2
Multiply the terms
16x3×x2
Multiply the terms with the same base by adding their exponents
16x3+2
Add the numbers
16x5
(16x5−3y2)(2x3−3y2)
Apply the distributive property
16x5×2x3−16x5×3y2−3y2×2x3−(−3y2×3y2)
Multiply the terms
More Steps

Evaluate
16x5×2x3
Multiply the numbers
32x5×x3
Multiply the terms
More Steps

Evaluate
x5×x3
Use the product rule an×am=an+m to simplify the expression
x5+3
Add the numbers
x8
32x8
32x8−16x5×3y2−3y2×2x3−(−3y2×3y2)
Multiply the numbers
32x8−48x5y2−3y2×2x3−(−3y2×3y2)
Multiply the numbers
32x8−48x5y2−6y2x3−(−3y2×3y2)
Multiply the terms
More Steps

Evaluate
−3y2×3y2
Multiply the numbers
−9y2×y2
Multiply the terms
More Steps

Evaluate
y2×y2
Use the product rule an×am=an+m to simplify the expression
y2+2
Add the numbers
y4
−9y4
32x8−48x5y2−6y2x3−(−9y4)
Solution
32x8−48x5y2−6y2x3+9y4
Show Solution
