Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6w−60z2+90zw
Evaluate
6w−5(4z−6w)×3z
Multiply
More Steps
Multiply the terms
5(4z−6w)×3z
Multiply the terms
15(4z−6w)z
Multiply the terms
15z(4z−6w)
6w−15z(4z−6w)
Solution
More Steps
Evaluate
−15z(4z−6w)
Apply the distributive property
−15z×4z−(−15z×6w)
Multiply the terms
More Steps
Evaluate
−15z×4z
Multiply the numbers
−60z×z
Multiply the terms
−60z2
−60z2−(−15z×6w)
Multiply the numbers
−60z2−(−90zw)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−60z2+90zw
6w−60z2+90zw
Show Solution
Factor the expression
−6(−w+10z2−15zw)
Evaluate
6w−5(4z−6w)×3z
Multiply
More Steps
Evaluate
5(4z−6w)×3z
Multiply the terms
15(4z−6w)z
Multiply the terms
15z(4z−6w)
6w−15z(4z−6w)
Simplify
More Steps
Evaluate
−15z(4z−6w)
Apply the distributive property
−15z×4z−15z(−6w)
Multiply the terms
More Steps
Evaluate
−15z×4z
Multiply the numbers
−60z×z
Multiply the terms
−60z2
−60z2−15z(−6w)
Multiply the numbers
More Steps
Evaluate
−15(−6)
Multiplying or dividing an even number of negative terms equals a positive
15×6
Multiply the numbers
90
−60z2+90zw
6w−60z2+90zw
Solution
−6(−w+10z2−15zw)
Show Solution