Question
Simplify the expression
4x2−8xy+4y2−108x4y3+108x3y4
Evaluate
4(x−y)2−12(x−y)xy×9(xy)2
Multiply
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Multiply the terms
12(x−y)xy×9(xy)2
Multiply the terms
108(x−y)xy(xy)2
Multiply the terms
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Evaluate
108xy(xy)2
Rewrite the expression
108xyx2y2
Multiply the terms
108x3y×y2
Multiply the terms
108x3y3
108x3y3(x−y)
4(x−y)2−108x3y3(x−y)
Expand the expression
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Calculate
4(x−y)2
Simplify
4(x2−2xy+y2)
Apply the distributive property
4x2−4×2xy+4y2
Multiply the numbers
4x2−8xy+4y2
4x2−8xy+4y2−108x3y3(x−y)
Solution
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Calculate
−108x3y3(x−y)
Apply the distributive property
−108x3y3x−(−108x3y3×y)
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−108x4y3−(−108x3y3×y)
Multiply the terms
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Evaluate
y3×y
Use the product rule an×am=an+m to simplify the expression
y3+1
Add the numbers
y4
−108x4y3−(−108x3y4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−108x4y3+108x3y4
4x2−8xy+4y2−108x4y3+108x3y4
Show Solution

Factor the expression
4(x−y)(x−y−27x3y3)
Evaluate
4(x−y)2−12(x−y)xy×9(xy)2
Multiply
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Evaluate
12(x−y)xy×9(xy)2
Multiply the terms
108(x−y)xy(xy)2
Multiply the terms
More Steps

Evaluate
108xy(xy)2
Rewrite the expression
108xyx2y2
Multiply the terms
108x3y×y2
Multiply the terms
108x3y3
108x3y3(x−y)
4(x−y)2−108x3y3(x−y)
Rewrite the expression
4(x−y)(x−y)−4(x−y)×27x3y3
Solution
4(x−y)(x−y−27x3y3)
Show Solution
