Question
Simplify the expression
7568zt7d−3784zt2d
Evaluate
z(8t3×t2−4)×11×86tdt
Multiply
More Steps

Multiply the terms
8t3×t2
Multiply the terms with the same base by adding their exponents
8t3+2
Add the numbers
8t5
z(8t5−4)×11×86tdt
Multiply the terms
z(8t5−4)×946tdt
Multiply the terms
z(8t5−4)×946t2d
Use the commutative property to reorder the terms
946zt2d(8t5−4)
Apply the distributive property
946zt2d×8t5−946zt2d×4
Multiply the terms
More Steps

Evaluate
946zt2d×8t5
Multiply the numbers
7568zt2dt5
Multiply the terms
More Steps

Evaluate
t2×t5
Use the product rule an×am=an+m to simplify the expression
t2+5
Add the numbers
t7
7568zt7d
7568zt7d−946zt2d×4
Solution
7568zt7d−3784zt2d
Show Solution

Factor the expression
3784zt2d(2t5−1)
Evaluate
z(8t3×t2−4)×11×86tdt
Multiply
More Steps

Multiply the terms
8t3×t2
Multiply the terms with the same base by adding their exponents
8t3+2
Add the numbers
8t5
z(8t5−4)×11×86tdt
Multiply the terms
z(8t5−4)×946tdt
Multiply the terms
z(8t5−4)×946t2d
Use the commutative property to reorder the terms
946zt2d(8t5−4)
Factor the expression
946zt2d×4(2t5−1)
Solution
3784zt2d(2t5−1)
Show Solution
