What is expand (3x^3-7x^2-2x)(xy) ?

The solution to expand (3x^3-7x^2-2x)(xy) is 3x^4y-7x^3y-2x^2y

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expand (3x^3-7x^2-2x)(xy)

expand

(3 x^{3} - 7 x^{2} - 2 x) (x y)

3 x^{4} y - 7 x^{3} y - 2 x^{2} y

Solution steps

(3 x^{3} - 7 x^{2} - 2 x) (x y)

= (x y) (3 x^{3} - 7 x^{2} - 2 x)

Apply the distributive law:

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

(x y) (3 x^{3} - 7 x^{2} - 2 x) = x y \cdot 3 x^{3} + x y (- 7 x^{2}) + x y (- 2 x)

= x y \cdot 3 x^{3} + x y (- 7 x^{2}) + x y (- 2 x)

Simplify

x y \cdot 3 x^{3} + x y (- 7 x^{2}) + x y (- 2 x) : 3 x^{4} y - 7 x^{3} y - 2 x^{2} y

= 3 x^{4} y - 7 x^{3} y - 2 x^{2} y

\frac{3}{5} + \frac{6}{4}

(x + 8) (x + 6)

7^{2} + 3^{2}

(4 m^{5} + 5 n^{3})^{2}

25 \times 6

What is expand (3x^3-7x^2-2x)(xy) ?
The solution to expand (3x^3-7x^2-2x)(xy) is 3x^4y-7x^3y-2x^2y