Question
Simplify the expression
7w2−72w+56w8+140w7+56w6
Evaluate
(7w2−9w×8)−(−2w2−5w−2)(7w2×4w4)
Remove the parentheses
(7w2−9w×8)−(−2w2−5w−2)×7w2×4w4
Multiply the terms
(7w2−72w)−(−2w2−5w−2)×7w2×4w4
Remove the parentheses
7w2−72w−(−2w2−5w−2)×7w2×4w4
Multiply the terms
More Steps

Multiply the terms
(−2w2−5w−2)×7w2×4w4
Multiply the terms
(−2w2−5w−2)×28w2×w4
Multiply the terms with the same base by adding their exponents
(−2w2−5w−2)×28w2+4
Add the numbers
(−2w2−5w−2)×28w6
Multiply the terms
28w6(−2w2−5w−2)
7w2−72w−28w6(−2w2−5w−2)
Solution
More Steps

Evaluate
−28w6(−2w2−5w−2)
Apply the distributive property
−28w6(−2w2)−(−28w6×5w)−(−28w6×2)
Multiply the terms
More Steps

Evaluate
−28w6(−2w2)
Multiply the numbers
56w6×w2
Multiply the terms
56w8
56w8−(−28w6×5w)−(−28w6×2)
Multiply the terms
More Steps

Evaluate
−28w6×5w
Multiply the numbers
−140w6×w
Multiply the terms
−140w7
56w8−(−140w7)−(−28w6×2)
Multiply the numbers
56w8−(−140w7)−(−56w6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
56w8+140w7+56w6
7w2−72w+56w8+140w7+56w6
Show Solution

Factor the expression
w(7w−72+56w7+140w6+56w5)
Evaluate
(7w2−9w×8)−(−2w2−5w−2)(7w2×4w4)
Remove the parentheses
(7w2−9w×8)−(−2w2−5w−2)×7w2×4w4
Multiply the terms
(7w2−72w)−(−2w2−5w−2)×7w2×4w4
Remove the parentheses
7w2−72w−(−2w2−5w−2)×7w2×4w4
Multiply
More Steps

Multiply the terms
7w2×4w4
Multiply the terms
28w2×w4
Multiply the terms with the same base by adding their exponents
28w2+4
Add the numbers
28w6
7w2−72w−(−2w2−5w−2)×28w6
Multiply the terms
7w2−72w−28w6(−2w2−5w−2)
Rewrite the expression
w(7w−72)+w×28w5(2w2+5w+2)
Factor out w from the expression
w(7w−72+28w5(2w2+5w+2))
Solution
w(7w−72+56w7+140w6+56w5)
Show Solution
