Question
Simplify the expression
4x5y2a−2x7ya2
Evaluate
(2xyax3)(2xy−ax3)
Remove the parentheses
2xyax3(2xy−ax3)
Multiply the terms with the same base by adding their exponents
2x1+3ya(2xy−ax3)
Add the numbers
2x4ya(2xy−ax3)
Apply the distributive property
2x4ya×2xy−2x4ya×ax3
Multiply the terms
More Steps

Evaluate
2x4ya×2xy
Multiply the numbers
4x4yaxy
Multiply the terms
More Steps

Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
4x5yay
Multiply the terms
4x5y2a
4x5y2a−2x4ya×ax3
Solution
More Steps

Evaluate
2x4ya×ax3
Multiply the terms
2x4ya2x3
Multiply the terms
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Evaluate
x4×x3
Use the product rule an×am=an+m to simplify the expression
x4+3
Add the numbers
x7
2x7ya2
4x5y2a−2x7ya2
Show Solution

Factor the expression
2x5ya(2y−ax2)
Evaluate
(2xyax3)(2xy−ax3)
Remove the parentheses
2xyax3(2xy−ax3)
Multiply
More Steps

Evaluate
2xyax3
Multiply the terms with the same base by adding their exponents
2x1+3ya
Add the numbers
2x4ya
2x4ya(2xy−ax3)
Factor the expression
More Steps

Evaluate
2xy−ax3
Calculate
2xy−x3a
Rewrite the expression
x×2y−xax2
Factor out x from the expression
x(2y−ax2)
2x4yax(2y−ax2)
Solution
2x5ya(2y−ax2)
Show Solution
