Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2+4xy−5x+2y2−5y−3
Evaluate
(x+y−3)(2x+2y+1)
Apply the distributive property
x×2x+x×2y+x×1+y×2x+y×2y+y×1−3×2x−3×2y−3×1
Multiply the terms
More Steps
Evaluate
x×2x
Use the commutative property to reorder the terms
2x×x
Multiply the terms
2x2
2x2+x×2y+x×1+y×2x+y×2y+y×1−3×2x−3×2y−3×1
Use the commutative property to reorder the terms
2x2+2xy+x×1+y×2x+y×2y+y×1−3×2x−3×2y−3×1
Any expression multiplied by 1 remains the same
2x2+2xy+x+y×2x+y×2y+y×1−3×2x−3×2y−3×1
Use the commutative property to reorder the terms
2x2+2xy+x+2yx+y×2y+y×1−3×2x−3×2y−3×1
Multiply the terms
More Steps
Evaluate
y×2y
Use the commutative property to reorder the terms
2y×y
Multiply the terms
2y2
2x2+2xy+x+2yx+2y2+y×1−3×2x−3×2y−3×1
Any expression multiplied by 1 remains the same
2x2+2xy+x+2yx+2y2+y−3×2x−3×2y−3×1
Multiply the numbers
2x2+2xy+x+2yx+2y2+y−6x−3×2y−3×1
Multiply the numbers
2x2+2xy+x+2yx+2y2+y−6x−6y−3×1
Any expression multiplied by 1 remains the same
2x2+2xy+x+2yx+2y2+y−6x−6y−3
Add the terms
More Steps
Evaluate
2xy+2yx
Rewrite the expression
2xy+2xy
Collect like terms by calculating the sum or difference of their coefficients
(2+2)xy
Add the numbers
4xy
2x2+4xy+x+2y2+y−6x−6y−3
Subtract the terms
More Steps
Evaluate
x−6x
Collect like terms by calculating the sum or difference of their coefficients
(1−6)x
Subtract the numbers
−5x
2x2+4xy−5x+2y2+y−6y−3
Solution
More Steps
Evaluate
y−6y
Collect like terms by calculating the sum or difference of their coefficients
(1−6)y
Subtract the numbers
−5y
2x2+4xy−5x+2y2−5y−3
Show Solution
