Solve left(24x+4right)left(2x-1right)+left(12x-10right)left(2x+1right)-36x^2+24x+5

$$\left( 24x+4 \right) \left( 2x-1 \right) + \left( 12x-10 \right) \left( 2x+1 \right) -36 { x }^{ 2 } +24x+5$$

Evaluate

$$36x^{2}-9$$

Solution Steps

Use the distributive property to multiply 24x+4 by 2x-1 and combine like terms.

$$48x^{2}-16x-4+\left(12x-10\right)\left(2x+1\right)-36x^{2}+24x+5$$

Use the distributive property to multiply 12x-10 by 2x+1 and combine like terms.

$$48x^{2}-16x-4+24x^{2}-8x-10-36x^{2}+24x+5$$

Combine 48x^{2} and 24x^{2} to get 72x^{2}.

$$72x^{2}-16x-4-8x-10-36x^{2}+24x+5$$

Combine -16x and -8x to get -24x.

$$72x^{2}-24x-4-10-36x^{2}+24x+5$$

Subtract 10 from -4 to get -14.

$$72x^{2}-24x-14-36x^{2}+24x+5$$

Combine 72x^{2} and -36x^{2} to get 36x^{2}.

$$36x^{2}-24x-14+24x+5$$

Combine -24x and 24x to get 0.

$$36x^{2}-14+5$$

Add -14 and 5 to get -9.

$$36x^{2}-9$$

Expand

$$36x^{2}-9$$

Solution Steps

Use the distributive property to multiply 24x+4 by 2x-1 and combine like terms.

$$48x^{2}-16x-4+\left(12x-10\right)\left(2x+1\right)-36x^{2}+24x+5$$

Use the distributive property to multiply 12x-10 by 2x+1 and combine like terms.

$$48x^{2}-16x-4+24x^{2}-8x-10-36x^{2}+24x+5$$

Combine 48x^{2} and 24x^{2} to get 72x^{2}.

$$72x^{2}-16x-4-8x-10-36x^{2}+24x+5$$

Combine -16x and -8x to get -24x.

$$72x^{2}-24x-4-10-36x^{2}+24x+5$$

Subtract 10 from -4 to get -14.

$$72x^{2}-24x-14-36x^{2}+24x+5$$

Combine 72x^{2} and -36x^{2} to get 36x^{2}.

$$36x^{2}-24x-14+24x+5$$

Combine -24x and 24x to get 0.

$$36x^{2}-14+5$$

Add -14 and 5 to get -9.

$$36x^{2}-9$$