Lutasin ang [(-2/3ax)^2+1/2ax(4/3a+5/2x)+a(frac{2}{3}ax-frac{5}{4}x^2)]:(-ax)

$$[ ( - \frac { 2 } { 3 } a x ) ^ { 2 } + \frac { 1 } { 2 } a x ( \frac { 4 } { 3 } a + \frac { 5 } { 2 } x ) + a ( \frac { 2 } { 3 } a x - \frac { 5 } { 4 } x ^ { 2 } ) ] : ( - a x )$$

I-evaluate

$$-\frac{4a\left(x+3\right)}{9}$$

Maiikling Hakbang sa Solution

Palawakin ang \left(-\frac{2}{3}ax\right)^{2}.

$$\frac{\left(-\frac{2}{3}\right)^{2}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}$$

Kalkulahin ang -\frac{2}{3} sa power ng 2 at kunin ang \frac{4}{9}.

$$\frac{\frac{4}{9}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}$$

I-factor ang mga expression na hindi pa na-factor.

$$\frac{\frac{1}{36}\times 16x\left(x+3\right)a^{2}}{-ax}$$

I-cancel out ang ax sa parehong numerator at denominator.

$$\frac{\frac{1}{36}\times 16a\left(x+3\right)}{-1}$$

Palawakin ang expression.

$$-\frac{4}{9}ax-\frac{4}{3}a$$

Palawakin

$$-\frac{4ax}{9}-\frac{4a}{3}$$

Maiikling Hakbang sa Solution

Palawakin ang \left(-\frac{2}{3}ax\right)^{2}.

$$\frac{\left(-\frac{2}{3}\right)^{2}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}$$

Kalkulahin ang -\frac{2}{3} sa power ng 2 at kunin ang \frac{4}{9}.

$$\frac{\frac{4}{9}a^{2}x^{2}+\frac{1}{2}ax\left(\frac{4}{3}a+\frac{5}{2}x\right)+a\left(\frac{2}{3}ax-\frac{5}{4}x^{2}\right)}{\left(-a\right)x}$$

I-factor ang mga expression na hindi pa na-factor.

$$\frac{\frac{1}{36}\times 16x\left(x+3\right)a^{2}}{-ax}$$

I-cancel out ang ax sa parehong numerator at denominator.

$$\frac{\frac{1}{36}\times 16a\left(x+3\right)}{-1}$$

Palawakin ang expression.

$$-\frac{4}{9}ax-\frac{4}{3}a$$