Question
Simplify the expression
9812x16−441x8−686x2
Evaluate
6(12×21x6)x2−21×x2(9×7x3)x3−7x2
Remove the parentheses
612×21x6x2−21×x2×9×7x3x3−7x2
Multiply the terms
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Multiply the terms
12×21x6x2
Multiply the terms
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Multiply the terms
12×21x6
Cancel out the common factor 3
4×7x6
Multiply the terms
74x6
74x6x2
Multiply the terms
74x6×x2
Multiply the terms
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Evaluate
x6×x2
Use the product rule an×am=an+m to simplify the expression
x6+2
Add the numbers
x8
74x8
674x8−21×x2×9×7x3x3−7x2
Subtract the terms
More Steps

Simplify
74x8−21
Reduce fractions to a common denominator
74x8−721×7
Write all numerators above the common denominator
74x8−21×7
Multiply the numbers
74x8−147
674x8−147x2×9×7x3x3−7x2
Divide the terms
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Evaluate
674x8−147
Multiply by the reciprocal
74x8−147×61
Multiply the terms
7×64x8−147
Multiply the terms
424x8−147
424x8−147×x2×9×7x3x3−7x2
Multiply
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Multiply the terms
424x8−147×x2×9×7x3x3
Multiply the terms with the same base by adding their exponents
424x8−147×x2+3×9×7x3
Add the numbers
424x8−147×x5×9×7x3
Multiply the terms
More Steps

Multiply the terms
424x8−147×x5
Multiply the terms
42(4x8−147)x5
Multiply the terms
42x5(4x8−147)
42x5(4x8−147)×9×7x3
Multiply the terms
More Steps

Multiply the terms
42x5(4x8−147)×9
Cancel out the common factor 3
14x5(4x8−147)×3
Multiply the terms
14x5(4x8−147)×3
Use the commutative property to reorder the terms
143x5(4x8−147)
143x5(4x8−147)×7x3
Multiply the terms
14×73x5(4x8−147)x3
Multiply the terms
More Steps

Evaluate
x5×x3
Use the product rule an×am=an+m to simplify the expression
x5+3
Add the numbers
x8
14×73x8(4x8−147)
Multiply the terms
983x8(4x8−147)
983x8(4x8−147)−7x2
Reduce fractions to a common denominator
983x8(4x8−147)−987x2×98
Write all numerators above the common denominator
983x8(4x8−147)−7x2×98
Multiply the terms
More Steps

Evaluate
3x8(4x8−147)
Multiply the terms
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Evaluate
3(4x8−147)
Apply the distributive property
3×4x8−3×147
Multiply the numbers
12x8−3×147
Multiply the numbers
12x8−441
(12x8−441)x8
Apply the distributive property
12x8×x8−441x8
Multiply the terms
More Steps

Evaluate
x8×x8
Use the product rule an×am=an+m to simplify the expression
x8+8
Add the numbers
x16
12x16−441x8
9812x16−441x8−7x2×98
Solution
9812x16−441x8−686x2
Show Solution
