Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2y2−2x2y+x2−6xy2+12xy−6x+9y2−18y+9
Evaluate
(x−3)2(y−1)2
Expand the expression
More Steps
Evaluate
(x−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×3+32
Calculate
x2−6x+9
(x2−6x+9)(y−1)2
Expand the expression
More Steps
Evaluate
(y−1)2
Use (a−b)2=a2−2ab+b2 to expand the expression
y2−2y×1+12
Calculate
y2−2y+1
(x2−6x+9)(y2−2y+1)
Apply the distributive property
x2y2−x2×2y+x2×1−6xy2−(−6x×2y)−6x×1+9y2−9×2y+9×1
Use the commutative property to reorder the terms
x2y2−2x2y+x2×1−6xy2−(−6x×2y)−6x×1+9y2−9×2y+9×1
Any expression multiplied by 1 remains the same
x2y2−2x2y+x2−6xy2−(−6x×2y)−6x×1+9y2−9×2y+9×1
Multiply the numbers
x2y2−2x2y+x2−6xy2−(−12xy)−6x×1+9y2−9×2y+9×1
Any expression multiplied by 1 remains the same
x2y2−2x2y+x2−6xy2−(−12xy)−6x+9y2−9×2y+9×1
Multiply the numbers
x2y2−2x2y+x2−6xy2−(−12xy)−6x+9y2−18y+9×1
Any expression multiplied by 1 remains the same
x2y2−2x2y+x2−6xy2−(−12xy)−6x+9y2−18y+9
Solution
x2y2−2x2y+x2−6xy2+12xy−6x+9y2−18y+9
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