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