Question
Simplify the expression
6x9−2x−4
Evaluate
x4×3x3×2x2−2x−4
Solution
More Steps

Evaluate
x4×3x3×2x2
Multiply the terms with the same base by adding their exponents
x4+3+2×3×2
Add the numbers
x9×3×2
Multiply the terms
x9×6
Use the commutative property to reorder the terms
6x9
6x9−2x−4
Show Solution

Factor the expression
2(x−1)(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)
Evaluate
x4×3x3×2x2−2x−4
Multiply
More Steps

Evaluate
x4×3x3×2x2
Multiply the terms with the same base by adding their exponents
x4+3+2×3×2
Add the numbers
x9×3×2
Multiply the terms
x9×6
Use the commutative property to reorder the terms
6x9
6x9−2x−4
Rewrite the expression
2×3x9−2x−2×2
Factor out 2 from the expression
2(3x9−x−2)
Solution
More Steps

Evaluate
3x9−x−2
Calculate
3x9+3x8+3x7+3x6+3x5+3x4+3x3+3x2+2x−3x8−3x7−3x6−3x5−3x4−3x3−3x2−3x−2
Rewrite the expression
x×3x8+x×3x7+x×3x6+x×3x5+x×3x4+x×3x3+x×3x2+x×3x+x×2−3x8−3x7−3x6−3x5−3x4−3x3−3x2−3x−2
Factor out x from the expression
x(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)−3x8−3x7−3x6−3x5−3x4−3x3−3x2−3x−2
Factor out −1 from the expression
x(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)−(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)
Factor out 3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2 from the expression
(x−1)(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)
2(x−1)(3x8+3x7+3x6+3x5+3x4+3x3+3x2+3x+2)
Show Solution
