Simplify ( square root of 10x^4-x square root of 5x^2)(2 square root of 15x^4+ square root of 3x^3)

Math
Simplify terms.
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Simplify each term.
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Rewrite as .
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Rewrite as .
Reorder and .
Pull terms out from under the radical.
Reorder and .
Pull terms out from under the radical.
Multiply by by adding the exponents.
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Move .
Multiply by .
Simplify each term.
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Rewrite as .
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Rewrite as .
Reorder and .
Pull terms out from under the radical.
Rewrite as .
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Factor out .
Reorder and .
Add parentheses.
Pull terms out from under the radical.
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Move to the left of .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply .
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Multiply by .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Tap for more steps…
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply .
Tap for more steps…
Combine using the product rule for radicals.
Multiply by .
Simplify ( square root of 10x^4-x square root of 5x^2)(2 square root of 15x^4+ square root of 3x^3)

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