Solve 2(n+2)(2n-5)

$$2 ( n + 2 ) ( 2 n - 5 )$$

Evaluate

$$2\left(2n-5\right)\left(n+2\right)$$

Solution Steps

Use the distributive property to multiply 2 by n+2.

$$\left(2n+4\right)\left(2n-5\right)$$

Apply the distributive property by multiplying each term of 2n+4 by each term of 2n-5.

$$4n^{2}-10n+8n-20$$

Combine -10n and 8n to get -2n.

$$4n^{2}-2n-20$$

Expand

$$4n^{2}-2n-20$$

Solution Steps

Use the distributive property to multiply 2 by n+2.

$$\left(2n+4\right)\left(2n-5\right)$$

Apply the distributive property by multiplying each term of 2n+4 by each term of 2n-5.

$$4n^{2}-10n+8n-20$$

Combine -10n and 8n to get -2n.

$$4n^{2}-2n-20$$