Question

what is the standard form of (x+2/3) (x+3/4)

Answer 1

(12x2 + 17x + 6)/12 is the standard form

Answer 2

Given equation is

$(x+\frac{2}{3} )(x+ \frac{3}{4} )$

We have to convert this equation to standard form.

For this we have to multiply the given two terms.

We get,

$(x+\frac{2}{3} )(x+ \frac{3}{4} )$

$x^{2} +\frac{3x}{4} +\frac{2x}{3} +\frac{2}{3}\times \frac{3}{4}$

$x^{2} +\frac{3x}{4} +\frac{2x}{3} +\frac{1}{2}$

In order to add middle two terms, we have to take LCM of $4,3$

$x^{2} +\frac{3x}{4}\times\frac{3}{3} +\frac{2x}{3} \times \frac{4}{4} +\frac{1}{2}$

$x^{2} +\frac{9x}{12} +\frac{8x}{12} +\frac{1}{2}$

$x^{2} +\frac{17x}{12} +\frac{1}{2}$

Therefore, the standard form of $(x+\frac{2}{3} )(x+ \frac{3}{4} )$ is $x^{2} +\frac{17x}{12} +\frac{1}{2}$