What is expand-8x^7y^4(-2xy+4x+y^5) ?

The solution to expand-8x^7y^4(-2xy+4x+y^5) is 16x^8y^5-32x^8y^4-8x^7y^9

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expand-8x^7y^4(-2xy+4x+y^5)

expand

- 8 x^{7} y^{4} (- 2 x y + 4 x + y^{5})

16 x^{8} y^{5} - 32 x^{8} y^{4} - 8 x^{7} y^{9}

Solution steps

- 8 x^{7} y^{4} (- 2 x y + 4 x + y^{5})

Apply the distributive law:

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

- 8 x^{7} y^{4} (- 2 x y + 4 x + y^{5}) = - 8 x^{7} y^{4} (- 2 x y) - 8 x^{7} y^{4} \cdot 4 x - 8 x^{7} y^{4} y^{5}

= - 8 x^{7} y^{4} (- 2 x y) - 8 x^{7} y^{4} \cdot 4 x - 8 x^{7} y^{4} y^{5}

Simplify

- 8 x^{7} y^{4} (- 2 x y) - 8 x^{7} y^{4} \cdot 4 x - 8 x^{7} y^{4} y^{5} : 16 x^{8} y^{5} - 32 x^{8} y^{4} - 8 x^{7} y^{9}

= 16 x^{8} y^{5} - 32 x^{8} y^{4} - 8 x^{7} y^{9}

x^{8} x^{2}

(42) (30)

(w - 5)^{2}

2 (- 4 c - 3) + 6 (10 c + 5)

\frac{3}{15 - 3}

What is expand-8x^7y^4(-2xy+4x+y^5) ?
The solution to expand-8x^7y^4(-2xy+4x+y^5) is 16x^8y^5-32x^8y^4-8x^7y^9