Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2y2−4x2y+4x2−4xy2+16xy−16x+4y2−16y+16
Evaluate
(x−2)2(y−2)2
Expand the expression
More Steps
Evaluate
(x−2)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×2+22
Calculate
x2−4x+4
(x2−4x+4)(y−2)2
Expand the expression
More Steps
Evaluate
(y−2)2
Use (a−b)2=a2−2ab+b2 to expand the expression
y2−2y×2+22
Calculate
y2−4y+4
(x2−4x+4)(y2−4y+4)
Apply the distributive property
x2y2−x2×4y+x2×4−4xy2−(−4x×4y)−4x×4+4y2−4×4y+4×4
Use the commutative property to reorder the terms
x2y2−4x2y+x2×4−4xy2−(−4x×4y)−4x×4+4y2−4×4y+4×4
Use the commutative property to reorder the terms
x2y2−4x2y+4x2−4xy2−(−4x×4y)−4x×4+4y2−4×4y+4×4
Multiply the numbers
x2y2−4x2y+4x2−4xy2−(−16xy)−4x×4+4y2−4×4y+4×4
Multiply the numbers
x2y2−4x2y+4x2−4xy2−(−16xy)−16x+4y2−4×4y+4×4
Multiply the numbers
x2y2−4x2y+4x2−4xy2−(−16xy)−16x+4y2−16y+4×4
Multiply the numbers
x2y2−4x2y+4x2−4xy2−(−16xy)−16x+4y2−16y+16
Solution
x2y2−4x2y+4x2−4xy2+16xy−16x+4y2−16y+16
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