Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2y2−30x2y+225x2−4xy2+120xy−900x+4y2−120y+900
Evaluate
(x−2)2(y−15)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−15)2
Expand the expression
More Steps
Evaluate
(y−15)2
Use (a−b)2=a2−2ab+b2 to expand the expression
y2−2y×15+152
Calculate
y2−30y+225
(x2−4x+4)(y2−30y+225)
Apply the distributive property
x2y2−x2×30y+x2×225−4xy2−(−4x×30y)−4x×225+4y2−4×30y+4×225
Use the commutative property to reorder the terms
x2y2−30x2y+x2×225−4xy2−(−4x×30y)−4x×225+4y2−4×30y+4×225
Use the commutative property to reorder the terms
x2y2−30x2y+225x2−4xy2−(−4x×30y)−4x×225+4y2−4×30y+4×225
Multiply the numbers
x2y2−30x2y+225x2−4xy2−(−120xy)−4x×225+4y2−4×30y+4×225
Multiply the numbers
x2y2−30x2y+225x2−4xy2−(−120xy)−900x+4y2−4×30y+4×225
Multiply the numbers
x2y2−30x2y+225x2−4xy2−(−120xy)−900x+4y2−120y+4×225
Multiply the numbers
x2y2−30x2y+225x2−4xy2−(−120xy)−900x+4y2−120y+900
Solution
x2y2−30x2y+225x2−4xy2+120xy−900x+4y2−120y+900
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