Question
Simplify the expression
x2−155x−4x3−154x9−1404x12
Evaluate
x2−x−2x−x2×4x−12x−x2×7x6×22x−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
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Multiply the terms
−x2×4x
Multiply the terms with the same base by adding their exponents
−x2+1×4
Add the numbers
−x3×4
Use the commutative property to reorder the terms
−4x3
x2−x−2x−4x3−12x−x2×7x6×22x−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
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Multiply the terms
−x2×7x6×22x
Multiply the terms with the same base by adding their exponents
−x2+6+1×7×22
Add the numbers
−x9×7×22
Multiply the terms
−x9×154
Use the commutative property to reorder the terms
−154x9
x2−x−2x−4x3−12x−154x9−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
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Multiply the terms
−26x2×6x2×3x4×3x4
Multiply the terms
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Evaluate
26×6×3×3
Multiply the terms
156×3×3
Multiply the terms
468×3
Multiply the numbers
1404
−1404x2×x2×x4×x4
Multiply the terms with the same base by adding their exponents
−1404x2+2+4+4
Add the numbers
−1404x12
x2−x−2x−4x3−12x−154x9−12x−13x−43x−46x−26x−1404x12
Solution
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Evaluate
−x−2x−12x−12x−13x−43x−46x−26x
Collect like terms by calculating the sum or difference of their coefficients
(−1−2−12−12−13−43−46−26)x
Subtract the numbers
−155x
x2−155x−4x3−154x9−1404x12
Show Solution

Factor the expression
x(x−155−4x2−154x8−1404x11)
Evaluate
x2−x−2x−x2×4x−12x−x2×7x6×22x−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
More Steps

Multiply the terms
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
x2−x−2x−4x3−12x−x2×7x6×22x−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
More Steps

Multiply the terms
x2×7x6×22x
Multiply the terms with the same base by adding their exponents
x2+6+1×7×22
Add the numbers
x9×7×22
Multiply the terms
x9×154
Use the commutative property to reorder the terms
154x9
x2−x−2x−4x3−12x−154x9−12x−13x−43x−46x−26x−26x2×6x2×3x4×3x4
Multiply
More Steps

Multiply the terms
26x2×6x2×3x4×3x4
Multiply the terms
More Steps

Evaluate
26×6×3×3
Multiply the terms
156×3×3
Multiply the terms
468×3
Multiply the numbers
1404
1404x2×x2×x4×x4
Multiply the terms with the same base by adding their exponents
1404x2+2+4+4
Add the numbers
1404x12
x2−x−2x−4x3−12x−154x9−12x−13x−43x−46x−26x−1404x12
Subtract the terms
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Simplify
x2−x−2x
Subtract the terms
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Evaluate
−x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−1−2)x
Subtract the numbers
−3x
x2−3x
x2−3x−4x3−12x−154x9−12x−13x−43x−46x−26x−1404x12
Subtract the terms
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Simplify
x2−3x−4x3−12x
Subtract the terms
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Evaluate
−3x−12x
Collect like terms by calculating the sum or difference of their coefficients
(−3−12)x
Subtract the numbers
−15x
x2−15x−4x3
x2−15x−4x3−154x9−12x−13x−43x−46x−26x−1404x12
Subtract the terms
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Simplify
x2−15x−4x3−154x9−12x
Subtract the terms
More Steps

Evaluate
−15x−12x
Collect like terms by calculating the sum or difference of their coefficients
(−15−12)x
Subtract the numbers
−27x
x2−27x−4x3−154x9
x2−27x−4x3−154x9−13x−43x−46x−26x−1404x12
Subtract the terms
More Steps

Simplify
x2−27x−4x3−154x9−13x
Subtract the terms
More Steps

Evaluate
−27x−13x
Collect like terms by calculating the sum or difference of their coefficients
(−27−13)x
Subtract the numbers
−40x
x2−40x−4x3−154x9
x2−40x−4x3−154x9−43x−46x−26x−1404x12
Subtract the terms
More Steps

Simplify
x2−40x−4x3−154x9−43x
Subtract the terms
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Evaluate
−40x−43x
Collect like terms by calculating the sum or difference of their coefficients
(−40−43)x
Subtract the numbers
−83x
x2−83x−4x3−154x9
x2−83x−4x3−154x9−46x−26x−1404x12
Subtract the terms
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Simplify
x2−83x−4x3−154x9−46x
Subtract the terms
More Steps

Evaluate
−83x−46x
Collect like terms by calculating the sum or difference of their coefficients
(−83−46)x
Subtract the numbers
−129x
x2−129x−4x3−154x9
x2−129x−4x3−154x9−26x−1404x12
Subtract the terms
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Simplify
x2−129x−4x3−154x9−26x
Subtract the terms
More Steps

Evaluate
−129x−26x
Collect like terms by calculating the sum or difference of their coefficients
(−129−26)x
Subtract the numbers
−155x
x2−155x−4x3−154x9
x2−155x−4x3−154x9−1404x12
Rewrite the expression
x×x−x×155−x×4x2−x×154x8−x×1404x11
Solution
x(x−155−4x2−154x8−1404x11)
Show Solution
