Solve left(x+3right)left(4x-15right)(x-7^2

$$\left( x+3 \right) \left( 4x-15 \right) (x- { 7 }^{ 2 }$$

Evaluate

$$\left(x-49\right)\left(4x-15\right)\left(x+3\right)$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\left(x+3\right)\left(4x-15\right)\left(x-49\right)$$

Apply the distributive property by multiplying each term of x+3 by each term of 4x-15.

$$\left(4x^{2}-15x+12x-45\right)\left(x-49\right)$$

Combine -15x and 12x to get -3x.

$$\left(4x^{2}-3x-45\right)\left(x-49\right)$$

Apply the distributive property by multiplying each term of 4x^{2}-3x-45 by each term of x-49.

$$4x^{3}-196x^{2}-3x^{2}+147x-45x+2205$$

Combine -196x^{2} and -3x^{2} to get -199x^{2}.

$$4x^{3}-199x^{2}+147x-45x+2205$$

Combine 147x and -45x to get 102x.

$$4x^{3}-199x^{2}+102x+2205$$

Expand

$$4x^{3}-199x^{2}+102x+2205$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\left(x+3\right)\left(4x-15\right)\left(x-49\right)$$

Apply the distributive property by multiplying each term of x+3 by each term of 4x-15.

$$\left(4x^{2}-15x+12x-45\right)\left(x-49\right)$$

Combine -15x and 12x to get -3x.

$$\left(4x^{2}-3x-45\right)\left(x-49\right)$$

Apply the distributive property by multiplying each term of 4x^{2}-3x-45 by each term of x-49.

$$4x^{3}-196x^{2}-3x^{2}+147x-45x+2205$$

Combine -196x^{2} and -3x^{2} to get -199x^{2}.

$$4x^{3}-199x^{2}+147x-45x+2205$$

Combine 147x and -45x to get 102x.

$$4x^{3}-199x^{2}+102x+2205$$