Solve (7a^{2}+a^4+5)^2+2^2+4^2

$$( 7 a ^ { 2 } + a ^ { 4 } + 5 ) ^ { 2 } + 2 ^ { 2 } + 4 ^ { 2 }$$

Evaluate

$$\left(a^{4}+7a^{2}+5\right)^{2}+20$$

Solution Steps

Square 7a^{2}+a^{4}+5.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+25+2^{2}+4^{2}$$

Calculate 2 to the power of 2 and get 4.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+25+4+4^{2}$$

Add 25 and 4 to get 29.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+29+4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+29+16$$

Add 29 and 16 to get 45.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+45$$

Expand

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+45$$

Solution Steps

Square 7a^{2}+a^{4}+5.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+25+2^{2}+4^{2}$$

Calculate 2 to the power of 2 and get 4.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+25+4+4^{2}$$

Add 25 and 4 to get 29.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+29+4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+29+16$$

Add 29 and 16 to get 45.

$$a^{8}+14a^{6}+59a^{4}+70a^{2}+45$$