Solve 3x(2x-21/5x)-7/2y(6x-4x)+29/2xy

$$3 x ( 2 x - \frac { 21 } { 5 } x ) - \frac { 7 } { 2 } y ( 6 x - 4 x ) + \frac { 29 } { 2 } x y$$

Evaluate

$$\frac{3x\left(25y-22x\right)}{10}$$

Solution Steps

Combine 2x and -\frac{21}{5}x to get -\frac{11}{5}x.

$$3x\left(-\frac{11}{5}\right)x-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Express 3\left(-\frac{11}{5}\right) as a single fraction.

$$\frac{3\left(-11\right)}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Multiply 3 and -11 to get -33.

$$\frac{-33}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Fraction \frac{-33}{5} can be rewritten as -\frac{33}{5} by extracting the negative sign.

$$-\frac{33}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Multiply x and x to get x^{2}.

$$-\frac{33}{5}x^{2}-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Combine 6x and -4x to get 2x.

$$-\frac{33}{5}x^{2}-\frac{7}{2}y\times 2x+\frac{29}{2}xy$$

Cancel out 2 and 2.

$$-\frac{33}{5}x^{2}-7yx+\frac{29}{2}xy$$

Combine -7yx and \frac{29}{2}xy to get \frac{15}{2}yx.

$$-\frac{33}{5}x^{2}+\frac{15}{2}yx$$

Expand

$$\frac{15xy}{2}-\frac{33x^{2}}{5}$$

Solution Steps

Combine 2x and -\frac{21}{5}x to get -\frac{11}{5}x.

$$3x\left(-\frac{11}{5}\right)x-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Express 3\left(-\frac{11}{5}\right) as a single fraction.

$$\frac{3\left(-11\right)}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Multiply 3 and -11 to get -33.

$$\frac{-33}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Fraction \frac{-33}{5} can be rewritten as -\frac{33}{5} by extracting the negative sign.

$$-\frac{33}{5}xx-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Multiply x and x to get x^{2}.

$$-\frac{33}{5}x^{2}-\frac{7}{2}y\left(6x-4x\right)+\frac{29}{2}xy$$

Combine 6x and -4x to get 2x.

$$-\frac{33}{5}x^{2}-\frac{7}{2}y\times 2x+\frac{29}{2}xy$$

Cancel out 2 and 2.

$$-\frac{33}{5}x^{2}-7yx+\frac{29}{2}xy$$

Combine -7yx and \frac{29}{2}xy to get \frac{15}{2}yx.

$$-\frac{33}{5}x^{2}+\frac{15}{2}yx$$