Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
29x2−13xy
Evaluate
5x(x−2y)−3x(y−8x)
Expand the expression
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Calculate
5x(x−2y)
Apply the distributive property
5x×x−5x×2y
Multiply the terms
5x2−5x×2y
Multiply the numbers
5x2−10xy
5x2−10xy−3x(y−8x)
Expand the expression
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Calculate
−3x(y−8x)
Apply the distributive property
−3xy−(−3x×8x)
Multiply the terms
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Evaluate
−3x×8x
Multiply the numbers
−24x×x
Multiply the terms
−24x2
−3xy−(−24x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3xy+24x2
5x2−10xy−3xy+24x2
Add the terms
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Evaluate
5x2+24x2
Collect like terms by calculating the sum or difference of their coefficients
(5+24)x2
Add the numbers
29x2
29x2−10xy−3xy
Solution
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Evaluate
−10xy−3xy
Collect like terms by calculating the sum or difference of their coefficients
(−10−3)xy
Subtract the numbers
−13xy
29x2−13xy
Show Solution
Factor the expression
(29x−13y)x
Evaluate
5x(x−2y)−3x(y−8x)
Rewrite the expression
5(x−2y)x−3(y−8x)x
Factor out x from the expression
(5(x−2y)−3(y−8x))x
Solution
(29x−13y)x
Show Solution