Solve (4n^2-5n+1)(2n^2)

$$( 4 n ^ { 2 } - 5 n + 1 ) ( 2 n ^ { 2 } )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply 4n^{2}-5n+1 by 2.

$$\left(8n^{2}-10n+2\right)n^{2}$$

Use the distributive property to multiply 8n^{2}-10n+2 by n^{2}.

$$8n^{4}-10n^{3}+2n^{2}$$

Expand

$$8n^{4}-10n^{3}+2n^{2}$$

Solution Steps

Use the distributive property to multiply 4n^{2}-5n+1 by 2.

$$\left(8n^{2}-10n+2\right)n^{2}$$

Use the distributive property to multiply 8n^{2}-10n+2 by n^{2}.

$$8n^{4}-10n^{3}+2n^{2}$$