Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−10y
Evaluate
5(5x−4y)−5(4x−2y)
Expand the expression
More Steps
Calculate
5(5x−4y)
Apply the distributive property
5×5x−5×4y
Multiply the numbers
25x−5×4y
Multiply the numbers
25x−20y
25x−20y−5(4x−2y)
Expand the expression
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Calculate
−5(4x−2y)
Apply the distributive property
−5×4x−(−5×2y)
Multiply the numbers
−20x−(−5×2y)
Multiply the numbers
−20x−(−10y)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−20x+10y
25x−20y−20x+10y
Subtract the terms
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Evaluate
25x−20x
Collect like terms by calculating the sum or difference of their coefficients
(25−20)x
Subtract the numbers
5x
5x−20y+10y
Solution
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Evaluate
−20y+10y
Collect like terms by calculating the sum or difference of their coefficients
(−20+10)y
Add the numbers
−10y
5x−10y
Show Solution
Factor the expression
5(x−2y)
Evaluate
5(5x−4y)−5(4x−2y)
Simplify
More Steps
Evaluate
5(5x−4y)
Apply the distributive property
5×5x+5(−4y)
Multiply the terms
25x+5(−4y)
Multiply the terms
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Evaluate
5(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−5×4
Multiply the numbers
−20
25x−20y
25x−20y−5(4x−2y)
Simplify
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Evaluate
−5(4x−2y)
Apply the distributive property
−5×4x−5(−2y)
Multiply the terms
−20x−5(−2y)
Multiply the terms
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Evaluate
−5(−2)
Multiplying or dividing an even number of negative terms equals a positive
5×2
Multiply the numbers
10
−20x+10y
25x−20y−20x+10y
Subtract the terms
More Steps
Evaluate
25x−20x
Collect like terms by calculating the sum or difference of their coefficients
(25−20)x
Subtract the numbers
5x
5x−20y+10y
Add the terms
More Steps
Evaluate
−20y+10y
Collect like terms by calculating the sum or difference of their coefficients
(−20+10)y
Add the numbers
−10y
5x−10y
Solution
5(x−2y)
Show Solution