Solve (1/88y^100+1)-(1/44y^100-1/2)

$$( \frac { 1 } { 88 } y ^ { 100 } + 1 ) - ( \frac { 1 } { 44 } y ^ { 100 } - \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{y^{100}}{88}+\frac{3}{2}$$

Solution Steps

To find the opposite of \frac{1}{44}y^{100}-\frac{1}{2}, find the opposite of each term.

$$\frac{1}{88}y^{100}+1-\frac{1}{44}y^{100}+\frac{1}{2}$$

Combine \frac{1}{88}y^{100} and -\frac{1}{44}y^{100} to get -\frac{1}{88}y^{100}.

$$-\frac{1}{88}y^{100}+1+\frac{1}{2}$$

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$-\frac{1}{88}y^{100}+\frac{3}{2}$$

Expand

$$-\frac{y^{100}}{88}+\frac{3}{2}$$

Solution Steps

To find the opposite of \frac{1}{44}y^{100}-\frac{1}{2}, find the opposite of each term.

$$\frac{1}{88}y^{100}+1-\frac{1}{44}y^{100}+\frac{1}{2}$$

Combine \frac{1}{88}y^{100} and -\frac{1}{44}y^{100} to get -\frac{1}{88}y^{100}.

$$-\frac{1}{88}y^{100}+1+\frac{1}{2}$$

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$-\frac{1}{88}y^{100}+\frac{3}{2}$$