Solve (3-0.3x)(3240(-x^2+2x+5/3

$$(3-0.3x)(3240(- { x }^{ 2 } +2x+ \frac{ 5 }{ 3 }$$

Evaluate

$$324\left(x-10\right)\left(3x^{2}-6x-5\right)$$

Solution Steps

Use the distributive property to multiply 3-0.3x by 3240.

$$\left(9720-972x\right)\left(-x^{2}+2x+\frac{5}{3}\right)$$

Use the distributive property to multiply 9720-972x by -x^{2}+2x+\frac{5}{3} and combine like terms.

$$9720\left(-x^{2}\right)+17820x+16200-972x\left(-x^{2}\right)-1944x^{2}$$

Multiply -972 and -1 to get 972.

$$9720\left(-x^{2}\right)+17820x+16200+972xx^{2}-1944x^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$9720\left(-x^{2}\right)+17820x+16200+972x^{3}-1944x^{2}$$

Multiply 9720 and -1 to get -9720.

$$-9720x^{2}+17820x+16200+972x^{3}-1944x^{2}$$

Combine -9720x^{2} and -1944x^{2} to get -11664x^{2}.

$$-11664x^{2}+17820x+16200+972x^{3}$$

Expand

$$972x^{3}-11664x^{2}+17820x+16200$$

Solution Steps

Use the distributive property to multiply 3-0.3x by 3240.

$$\left(9720-972x\right)\left(-x^{2}+2x+\frac{5}{3}\right)$$

Use the distributive property to multiply 9720-972x by -x^{2}+2x+\frac{5}{3} and combine like terms.

$$9720\left(-x^{2}\right)+17820x+16200-972x\left(-x^{2}\right)-1944x^{2}$$

Multiply -972 and -1 to get 972.

$$9720\left(-x^{2}\right)+17820x+16200+972xx^{2}-1944x^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$9720\left(-x^{2}\right)+17820x+16200+972x^{3}-1944x^{2}$$

Multiply 9720 and -1 to get -9720.

$$-9720x^{2}+17820x+16200+972x^{3}-1944x^{2}$$

Combine -9720x^{2} and -1944x^{2} to get -11664x^{2}.

$$-11664x^{2}+17820x+16200+972x^{3}$$