Solve (0,4y+2/5y)^2+(-3/5y)^2+(-26y^7):(13y^5)

$$( 0,4 y + \frac { 2 } { 5 } y ) ^ { 2 } + ( - \frac { 3 } { 5 } y ) ^ { 2 } + ( - 26 y ^ { 7 } ) : ( 13 y ^ { 5 } )$$

Evaluate

$$-y^{2}$$

Solution Steps

Combine 0,4y and \frac{2}{5}y to get \frac{4}{5}y.

$$\left(\frac{4}{5}y\right)^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Expand \left(\frac{4}{5}y\right)^{2}.

$$\left(\frac{4}{5}\right)^{2}y^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{16}{25}y^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Expand \left(-\frac{3}{5}y\right)^{2}.

$$\frac{16}{25}y^{2}+\left(-\frac{3}{5}\right)^{2}y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Calculate -\frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{16}{25}y^{2}+\frac{9}{25}y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Combine \frac{16}{25}y^{2} and \frac{9}{25}y^{2} to get y^{2}.

$$y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Cancel out 13y^{5} in both numerator and denominator.

$$y^{2}-2y^{2}$$

Combine y^{2} and -2y^{2} to get -y^{2}.

$$-y^{2}$$

Expand

$$-y^{2}$$

Solution Steps

Combine 0,4y and \frac{2}{5}y to get \frac{4}{5}y.

$$\left(\frac{4}{5}y\right)^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Expand \left(\frac{4}{5}y\right)^{2}.

$$\left(\frac{4}{5}\right)^{2}y^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{16}{25}y^{2}+\left(-\frac{3}{5}y\right)^{2}+\frac{-26y^{7}}{13y^{5}}$$

Expand \left(-\frac{3}{5}y\right)^{2}.

$$\frac{16}{25}y^{2}+\left(-\frac{3}{5}\right)^{2}y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Calculate -\frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{16}{25}y^{2}+\frac{9}{25}y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Combine \frac{16}{25}y^{2} and \frac{9}{25}y^{2} to get y^{2}.

$$y^{2}+\frac{-26y^{7}}{13y^{5}}$$

Cancel out 13y^{5} in both numerator and denominator.

$$y^{2}-2y^{2}$$

Combine y^{2} and -2y^{2} to get -y^{2}.

$$-y^{2}$$