What is expand (5w^3x-3w^4y+6w^2)(8wy^3) ?

The solution to expand (5w^3x-3w^4y+6w^2)(8wy^3) is 40w^4xy^3-24w^5y^4+48w^3y^3

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expand (5w^3x-3w^4y+6w^2)(8wy^3)

expand

(5 w^{3} x - 3 w^{4} y + 6 w^{2}) (8 w y^{3})

40 w^{4} x y^{3} - 24 w^{5} y^{4} + 48 w^{3} y^{3}

Solution steps

(5 w^{3} x - 3 w^{4} y + 6 w^{2}) (8 w y^{3})

= (8 w y^{3}) (5 w^{3} x - 3 w^{4} y + 6 w^{2})

Apply the distributive law:

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

(8 w y^{3}) (5 w^{3} x - 3 w^{4} y + 6 w^{2}) = 8 w y^{3} \cdot 5 w^{3} x + 8 w y^{3} (- 3 w^{4} y) + 8 w y^{3} \cdot 6 w^{2}

= 8 w y^{3} \cdot 5 w^{3} x + 8 w y^{3} (- 3 w^{4} y) + 8 w y^{3} \cdot 6 w^{2}

Simplify

8 w y^{3} \cdot 5 w^{3} x + 8 w y^{3} (- 3 w^{4} y) + 8 w y^{3} \cdot 6 w^{2} : 40 w^{4} x y^{3} - 24 w^{5} y^{4} + 48 w^{3} y^{3}

= 40 w^{4} x y^{3} - 24 w^{5} y^{4} + 48 w^{3} y^{3}

\frac{250}{100}

9 + (- 10)

ln (8 t)

\frac{18}{38}

15 (210 - 46)

What is expand (5w^3x-3w^4y+6w^2)(8wy^3) ?
The solution to expand (5w^3x-3w^4y+6w^2)(8wy^3) is 40w^4xy^3-24w^5y^4+48w^3y^3