Solve =4(4h^4+5h^2+1)^2

$$= 4 ( 4 h ^ { 4 } + 5 h ^ { 2 } + 1 ) ^ { 2 }$$

Evaluate

$$4\left(\left(4h^{2}+1\right)\left(h^{2}+1\right)\right)^{2}$$

Solution Steps

Square 4h^{4}+5h^{2}+1.

$$4\left(16h^{8}+40h^{6}+33h^{4}+10h^{2}+1\right)$$

Use the distributive property to multiply 4 by 16h^{8}+40h^{6}+33h^{4}+10h^{2}+1.

$$64h^{8}+160h^{6}+132h^{4}+40h^{2}+4$$

Expand

$$64h^{8}+160h^{6}+132h^{4}+40h^{2}+4$$

Solution Steps

Square 4h^{4}+5h^{2}+1.

$$4\left(16h^{8}+40h^{6}+33h^{4}+10h^{2}+1\right)$$

Use the distributive property to multiply 4 by 16h^{8}+40h^{6}+33h^{4}+10h^{2}+1.

$$64h^{8}+160h^{6}+132h^{4}+40h^{2}+4$$