Solve left|-9right|25div9*3-2y^2

$$\left| -9 \right| 25 \div 9 \times 3-2 { y }^{ 2 }$$

Evaluate

$$75-2y^{2}$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -9 is 9.

$$\frac{9\times 25}{9}\times 3-2y^{2}$$

Multiply 9 and 25 to get 225.

$$\frac{225}{9}\times 3-2y^{2}$$

Divide 225 by 9 to get 25.

$$25\times 3-2y^{2}$$

Multiply 25 and 3 to get 75.

$$75-2y^{2}$$

Factor

$$75-2y^{2}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{225-6y^{2}}{3}$$

Consider 225-6y^{2}. Factor out 3.

$$3\left(75-2y^{2}\right)$$

Rewrite the complete factored expression.

$$75-2y^{2}$$