Solve 18^2*k^2*9/4*(k^2+1)-48/72

$$18 ^ { 2 } \times k ^ { 2 } \times \frac { 9 } { 4 } \cdot ( k ^ { 2 } + 1 ) - \frac { 48 } { 72 }$$

Evaluate

$$729k^{4}+729k^{2}-\frac{2}{3}$$

Solution Steps

Calculate 18 to the power of 2 and get 324.

$$324k^{2}\times \frac{9}{4}\left(k^{2}+1\right)-\frac{48}{72}$$

Multiply 324 and \frac{9}{4} to get 729.

$$729k^{2}\left(k^{2}+1\right)-\frac{48}{72}$$

Use the distributive property to multiply 729k^{2} by k^{2}+1.

$$729k^{4}+729k^{2}-\frac{48}{72}$$

Reduce the fraction \frac{48}{72} to lowest terms by extracting and canceling out 24.

$$729k^{4}+729k^{2}-\frac{2}{3}$$

Expand

$$729k^{4}+729k^{2}-\frac{2}{3}$$

Solution Steps

Calculate 18 to the power of 2 and get 324.

$$324k^{2}\times \frac{9}{4}\left(k^{2}+1\right)-\frac{48}{72}$$

Multiply 324 and \frac{9}{4} to get 729.

$$729k^{2}\left(k^{2}+1\right)-\frac{48}{72}$$

Use the distributive property to multiply 729k^{2} by k^{2}+1.

$$729k^{4}+729k^{2}-\frac{48}{72}$$

Reduce the fraction \frac{48}{72} to lowest terms by extracting and canceling out 24.

$$729k^{4}+729k^{2}-\frac{2}{3}$$