Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
15z+6y
Evaluate
3(−4z−3z)−6(−6z−y)
Subtract the terms
More Steps
Simplify
−4z−3z
Collect like terms by calculating the sum or difference of their coefficients
(−4−3)z
Subtract the numbers
−7z
3(−7z)−6(−6z−y)
Multiply the numbers
More Steps
Evaluate
3(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−3×7
Multiply the numbers
−21
−21z−6(−6z−y)
Expand the expression
More Steps
Calculate
−6(−6z−y)
Apply the distributive property
−6(−6z)−(−6y)
Multiply the numbers
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Evaluate
−6(−6)
Multiplying or dividing an even number of negative terms equals a positive
6×6
Multiply the numbers
36
36z−(−6y)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
36z+6y
−21z+36z+6y
Solution
More Steps
Evaluate
−21z+36z
Collect like terms by calculating the sum or difference of their coefficients
(−21+36)z
Add the numbers
15z
15z+6y
Show Solution
Factor the expression
3(5z+2y)
Evaluate
3(−4z−3z)−6(−6z−y)
Subtract the terms
More Steps
Simplify
−4z−3z
Collect like terms by calculating the sum or difference of their coefficients
(−4−3)z
Subtract the numbers
−7z
3(−7z)−6(−6z−y)
Multiply the numbers
More Steps
Evaluate
3(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−3×7
Multiply the numbers
−21
Evaluate
−21z
−21z−6(−6z−y)
Simplify
More Steps
Evaluate
−6(−6z−y)
Apply the distributive property
−6(−6z)−6(−y)
Multiply the terms
More Steps
Evaluate
−6(−6)
Multiplying or dividing an even number of negative terms equals a positive
6×6
Multiply the numbers
36
36z−6(−y)
Multiply the terms
36z+6y
−21z+36z+6y
Add the terms
More Steps
Evaluate
−21z+36z
Collect like terms by calculating the sum or difference of their coefficients
(−21+36)z
Add the numbers
15z
15z+6y
Solution
3(5z+2y)
Show Solution