Solve [(-5)x^2-(-9)xdiv(-3)^2]*(-4)x^-1

$$[ ( - 5 ) x ^ { 2 } - \{ ( - 9 ) x \div ( - 3 ) \} ^ { 2 } ] \cdot ( - 4 ) x ^ { - 1 }$$

Evaluate

$$56x$$

Solution Steps

Divide -9x by -3 to get 3x.

$$\left(-5x^{2}-\left(3x\right)^{2}\right)\left(-4\right)x^{-1}$$

Expand \left(3x\right)^{2}.

$$\left(-5x^{2}-3^{2}x^{2}\right)\left(-4\right)x^{-1}$$

Calculate 3 to the power of 2 and get 9.

$$\left(-5x^{2}-9x^{2}\right)\left(-4\right)x^{-1}$$

Combine -5x^{2} and -9x^{2} to get -14x^{2}.

$$-14x^{2}\left(-4\right)x^{-1}$$

Multiply -14 and -4 to get 56.

$$56x^{2}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 2 and -1 to get 1.

$$56x^{1}$$

Calculate x to the power of 1 and get x.

$$56x$$

Expand

$$56x$$

Solution Steps

Divide -9x by -3 to get 3x.

$$\left(-5x^{2}-\left(3x\right)^{2}\right)\left(-4\right)x^{-1}$$

Expand \left(3x\right)^{2}.

$$\left(-5x^{2}-3^{2}x^{2}\right)\left(-4\right)x^{-1}$$

Calculate 3 to the power of 2 and get 9.

$$\left(-5x^{2}-9x^{2}\right)\left(-4\right)x^{-1}$$

Combine -5x^{2} and -9x^{2} to get -14x^{2}.

$$-14x^{2}\left(-4\right)x^{-1}$$

Multiply -14 and -4 to get 56.

$$56x^{2}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 2 and -1 to get 1.

$$56x^{1}$$

Calculate x to the power of 1 and get x.

$$56x$$