Simplify 9a^3x^7(-11a^6x^9+12x^6-3a)

Math
9a3x7(-11a6x9+12×6-3a)
Apply the distributive property.
9a3x7(-11a6x9)+9a3x7(12×6)+9a3x7(-3a)
Simplify.
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Multiply a3 by a6 by adding the exponents.
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Move a6.
9(a6a3)x7(-11×9)+9a3x7(12×6)+9a3x7(-3a)
Use the power rule aman=am+n to combine exponents.
9a6+3×7(-11×9)+9a3x7(12×6)+9a3x7(-3a)
Add 6 and 3.
9a9x7(-11×9)+9a3x7(12×6)+9a3x7(-3a)
9a9x7(-11×9)+9a3x7(12×6)+9a3x7(-3a)
Multiply x7 by x6 by adding the exponents.
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Move x6.
9a9x7(-11×9)+9a3(x6x7)⋅12+9a3x7(-3a)
Use the power rule aman=am+n to combine exponents.
9a9x7(-11×9)+9a3x6+7⋅12+9a3x7(-3a)
Add 6 and 7.
9a9x7(-11×9)+9a3x13⋅12+9a3x7(-3a)
9a9x7(-11×9)+9a3x13⋅12+9a3x7(-3a)
Multiply a3 by a by adding the exponents.
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Move a.
9a9x7(-11×9)+9a3x13⋅12+9(a⋅a3)x7⋅-3
Multiply a by a3.
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Raise a to the power of 1.
9a9x7(-11×9)+9a3x13⋅12+9(a1a3)x7⋅-3
Use the power rule aman=am+n to combine exponents.
9a9x7(-11×9)+9a3x13⋅12+9a1+3×7⋅-3
9a9x7(-11×9)+9a3x13⋅12+9a1+3×7⋅-3
Add 1 and 3.
9a9x7(-11×9)+9a3x13⋅12+9a4x7⋅-3
9a9x7(-11×9)+9a3x13⋅12+9a4x7⋅-3
9a9x7(-11×9)+9a3x13⋅12+9a4x7⋅-3
Simplify each term.
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Multiply x7 by x9 by adding the exponents.
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Move x9.
9a9(x9x7)⋅-11+9a3x13⋅12+9a4x7⋅-3
Use the power rule aman=am+n to combine exponents.
9a9x9+7⋅-11+9a3x13⋅12+9a4x7⋅-3
Add 9 and 7.
9a9x16⋅-11+9a3x13⋅12+9a4x7⋅-3
9a9x16⋅-11+9a3x13⋅12+9a4x7⋅-3
Multiply -11 by 9.
-99a9x16+9a3x13⋅12+9a4x7⋅-3
Multiply 12 by 9.
-99a9x16+108a3x13+9a4x7⋅-3
Multiply -3 by 9.
-99a9x16+108a3x13-27a4x7
-99a9x16+108a3x13-27a4x7
Simplify 9a^3x^7(-11a^6x^9+12x^6-3a)

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