What is expand 7x^2y(-5x^3y^2+6xy^3-8x^2yz) ?

The solution to expand 7x^2y(-5x^3y^2+6xy^3-8x^2yz) is -35x^5y^3+42x^3y^4-56x^4y^2z

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expand 7x^2y(-5x^3y^2+6xy^3-8x^2yz)

expand

7 x^{2} y (- 5 x^{3} y^{2} + 6 x y^{3} - 8 x^{2} yz)

- 35 x^{5} y^{3} + 42 x^{3} y^{4} - 56 x^{4} y^{2} z

Solution steps

7 x^{2} y (- 5 x^{3} y^{2} + 6 x y^{3} - 8 x^{2} yz)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

7 x^{2} y (- 5 x^{3} y^{2} + 6 x y^{3} - 8 x^{2} yz) = 7 x^{2} y (- 5 x^{3} y^{2}) + 7 x^{2} y \cdot 6 x y^{3} + 7 x^{2} y (- 8 x^{2} yz)

= 7 x^{2} y (- 5 x^{3} y^{2}) + 7 x^{2} y \cdot 6 x y^{3} + 7 x^{2} y (- 8 x^{2} yz)

Simplify

7 x^{2} y (- 5 x^{3} y^{2}) + 7 x^{2} y \cdot 6 x y^{3} + 7 x^{2} y (- 8 x^{2} yz) : - 35 x^{5} y^{3} + 42 x^{3} y^{4} - 56 x^{4} y^{2} z

= - 35 x^{5} y^{3} + 42 x^{3} y^{4} - 56 x^{4} y^{2} z

\frac{x ^{4} y ^{5} z - x ^{3} y ^{4} z ^{2} + x ^{2} y ^{4} z}{x ^{2} y ^{3}}

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\frac{c}{d} + 1

\frac{2}{6} - \frac{2}{7}

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What is expand 7x^2y(-5x^3y^2+6xy^3-8x^2yz) ?
The solution to expand 7x^2y(-5x^3y^2+6xy^3-8x^2yz) is -35x^5y^3+42x^3y^4-56x^4y^2z