Question 141944
5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y}
:
{{{5x*sqrt(448x^5y^3)}}} - {{{3y*sqrt(63x^7y)}}}
Factor inside the radical to reveal the perfect squares:
{{{5x*sqrt(64*7*x^4*x*y^2*y)}}} - {{{3y*sqrt(9*7*x^6*x*y)}}}
Extract those perfect squares:
{{{5x*8*x^2*y*sqrt(7*x*y)}}} - {{{3y*3*x^3*sqrt(7*x*y)}}}
Combine like terms
{{{40x^3y*sqrt(7xy)}}} - {{{9x^3y*sqrt(7xy)}}}
These are like terms so we have:
{{{31x^3y*sqrt(7xy)}}}
:
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