What is expand-5x^3y^6(12xy-8x+y^3) ?

The solution to expand-5x^3y^6(12xy-8x+y^3) is -60x^4y^7+40x^4y^6-5x^3y^9

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expand-5x^3y^6(12xy-8x+y^3)

expand

- 5 x^{3} y^{6} (12 x y - 8 x + y^{3})

- 60 x^{4} y^{7} + 40 x^{4} y^{6} - 5 x^{3} y^{9}

Solution steps

- 5 x^{3} y^{6} (12 x y - 8 x + y^{3})

Apply the distributive law:

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

- 5 x^{3} y^{6} (12 x y - 8 x + y^{3}) = - 5 x^{3} y^{6} \cdot 12 x y - 5 x^{3} y^{6} (- 8 x) - 5 x^{3} y^{6} y^{3}

= - 5 x^{3} y^{6} \cdot 12 x y - 5 x^{3} y^{6} (- 8 x) - 5 x^{3} y^{6} y^{3}

Simplify

- 5 x^{3} y^{6} \cdot 12 x y - 5 x^{3} y^{6} (- 8 x) - 5 x^{3} y^{6} y^{3} : - 60 x^{4} y^{7} + 40 x^{4} y^{6} - 5 x^{3} y^{9}

= - 60 x^{4} y^{7} + 40 x^{4} y^{6} - 5 x^{3} y^{9}

∣ - 0.8 \cdot 10 ∣

\frac{108 a ^{4}}{b ^{2}}

a^{4} - b^{6}

\frac{5 - 2 2}{12}

(4 x^{2} + x - 5) - (5 x^{2} - 1)

What is expand-5x^3y^6(12xy-8x+y^3) ?
The solution to expand-5x^3y^6(12xy-8x+y^3) is -60x^4y^7+40x^4y^6-5x^3y^9