Solve 1x^2-5*(x^2)^2=

$$1 x ^ { 2 } - 5 \cdot ( x ^ { 2 } ) ^ { 2 } =$$

Evaluate

$$x^{2}-5x^{4}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$1x^{2}-5x^{4}$$

For any term t, t\times 1=t and 1t=t.

$$x^{2}-5x^{4}$$

Factor

$$x^{2}\left(1-5x^{2}\right)$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$factor(1x^{2}-5x^{4})$$

Factor out x^{2}. Polynomial 1-5x^{2} is not factored since it does not have any rational roots.

$$x^{2}\left(1-5x^{2}\right)$$