Change the mixed expressions to fractions. y+2y3x3−y3 1) 2y4 2) x3y+2y3−y4x3−y3 3) 2y3+yx3−y3

Step 1 Given expression, y+2y3x3−y3 Step 2 y+2y3x3−y3=y(x3−y3x3−y3)+2y3x3−y3 =y(x3−y3x3−y3)+2y3x3−y3 =x3y−y4x3−y3+2y3x3−y3 =x3y+2y3−y4x3−y3

Explained: "Change the mixed expressions to fractions. y+2y3x3−y3 1)..."

Halkadvalseln

2021-11-12

Change the mixed expressions to fractions.

y + \frac{2 y^{3}}{x^{3} - y^{3}}

2 y^{4}

\frac{x^{3} y + 2 y^{3} - y^{4}}{x^{3} - y^{3}}

\frac{2 y^{3} + y}{x^{3} - y^{3}}

Zachary Pickett

Beginner2021-11-13Added 17 answers

Step 1
Given expression,

y + \frac{2 y^{3}}{x^{3} - y^{3}}

Step 2

y + \frac{2 y^{3}}{x^{3} - y^{3}} = y (\frac{x^{3} - y^{3}}{x^{3} - y^{3}}) + \frac{2 y^{3}}{x^{3} - y^{3}}

= y (\frac{x^{3} - y^{3}}{x^{3} - y^{3}}) + \frac{2 y^{3}}{x^{3} - y^{3}}

= \frac{x^{3} y - y^{4}}{x^{3} - y^{3}} + \frac{2 y^{3}}{x^{3} - y^{3}}

= \frac{x^{3} y + 2 y^{3} - y^{4}}{x^{3} - y^{3}}

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