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

The solution to expand 2x^2(3x^2+2xy^2-7x) is 6x^4+4x^3y^2-14x^3

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

expand

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

6 x^{4} + 4 x^{3} y^{2} - 14 x^{3}

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

2 x^{2} \cdot 3 x^{2} + 2 x^{2} \cdot 2 x y^{2} + 2 x^{2} (- 7 x) : 6 x^{4} + 4 x^{3} y^{2} - 14 x^{3}

= 6 x^{4} + 4 x^{3} y^{2} - 14 x^{3}

(\frac{x}{x + 1})^{2}

3 (x + 9) + 5 (4 x - 6)

3 a \cdot 2 a

\frac{2}{7} \div \frac{8}{3}

- \frac{24}{42}

What is expand 2x^2(3x^2+2xy^2-7x) ?
The solution to expand 2x^2(3x^2+2xy^2-7x) is 6x^4+4x^3y^2-14x^3