Simplify 10x^5(5x^3-6x^2)

Math
10×5(5×3-6×2)
Simplify by multiplying through.
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Apply the distributive property.
10×5(5×3)+10×5(-6×2)
Reorder.
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Rewrite using the commutative property of multiplication.
10⋅5(x5x3)+10×5(-6×2)
Rewrite using the commutative property of multiplication.
10⋅5(x5x3)+10⋅-6(x5x2)
10⋅5(x5x3)+10⋅-6(x5x2)
10⋅5(x5x3)+10⋅-6(x5x2)
Simplify each term.
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Multiply x5 by x3 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
10⋅5×5+3+10⋅-6(x5x2)
Add 5 and 3.
10⋅5×8+10⋅-6(x5x2)
10⋅5×8+10⋅-6(x5x2)
Multiply 10 by 5.
50×8+10⋅-6(x5x2)
Multiply x5 by x2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
50×8+10⋅-6×5+2
Add 5 and 2.
50×8+10⋅-6×7
50×8+10⋅-6×7
Multiply 10 by -6.
50×8-60×7
50×8-60×7
Simplify 10x^5(5x^3-6x^2)

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