Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2−288x6d+576x5d
Evaluate
3x2−18x3×4(2x×1)(x−2)×2dx
Remove the parentheses
3x2−18x3×4×2x×1×(x−2)×2dx
Multiply the terms
More Steps
Multiply the terms
18x3×4×2x×1×(x−2)×2dx
Rewrite the expression
18x3×4×2x(x−2)×2dx
Multiply the terms
More Steps
Evaluate
18×4×2×2
Multiply the terms
72×2×2
Multiply the terms
144×2
Multiply the numbers
288
288x3×x(x−2)dx
Multiply the terms with the same base by adding their exponents
288x3+1+1(x−2)d
Add the numbers
288x5(x−2)d
Multiply the terms
288x5d(x−2)
3x2−288x5d(x−2)
Solution
More Steps
Evaluate
−288x5d(x−2)
Apply the distributive property
−288x5dx−(−288x5d×2)
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
−288x6d−(−288x5d×2)
Multiply the numbers
−288x6d−(−576x5d)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−288x6d+576x5d
3x2−288x6d+576x5d
Show Solution
Factor the expression
3x2(1−96x4d+192x3d)
Evaluate
3x2−18x3×4(2x×1)(x−2)×2dx
Remove the parentheses
3x2−18x3×4×2x×1×(x−2)×2dx
Multiply the terms
3x2−18x3×4×2x(x−2)×2dx
Multiply
More Steps
Multiply the terms
18x3×4×2x(x−2)×2dx
Multiply the terms
More Steps
Evaluate
18×4×2×2
Multiply the terms
72×2×2
Multiply the terms
144×2
Multiply the numbers
288
288x3×x(x−2)dx
Multiply the terms with the same base by adding their exponents
288x3+1+1(x−2)d
Add the numbers
288x5(x−2)d
Multiply the terms
288x5d(x−2)
3x2−288x5d(x−2)
Rewrite the expression
3x2−3x2×96x3d(x−2)
Factor out 3x2 from the expression
3x2(1−96x3d(x−2))
Solution
3x2(1−96x4d+192x3d)
Show Solution