Solve 7x^2(-x^2-5x)

$$7 x ^ { 2 } ( - x ^ { 2 } - 5 x )$$

Evaluate

$$-7\left(x+5\right)x^{3}$$

Solution Steps

Use the distributive property to multiply 7x^{2} by -x^{2}-5x.

$$7x^{2}\left(-x^{2}\right)-35x^{3}$$

Multiply 7 and -1 to get -7.

$$-7x^{2}x^{2}-35x^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$-7x^{4}-35x^{3}$$

Expand

$$-7x^{4}-35x^{3}$$

Solution Steps

Use the distributive property to multiply 7x^{2} by -x^{2}-5x.

$$7x^{2}\left(-x^{2}\right)-35x^{3}$$

Multiply 7 and -1 to get -7.

$$-7x^{2}x^{2}-35x^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$-7x^{4}-35x^{3}$$