Question

Help please, Thank you so much.

Answer 1

(a) $(\frac{1x}{2} - \frac{1}{4}) and 5x^2 -2x-6$

To find product ,

first multiply $(\frac{1x}{2})$ with $5x^2 -2x-6$

$(\frac{1x}{2})* (5x^2 -2x-6) = \frac{5x^3}{2} - x^2 -3x$

Now  multiply $(\frac{-1}{4})$ with $5x^2 -2x-6$

$(\frac{-1}{4}) * (5x^2 -2x-6) = -\frac{5x^2}{4} + \frac{x}{2} + \frac{3}{2}$

Now we combine it

$\frac{5x^3}{2} - x^2 -3x -\frac{5x^2}{4} + \frac{x}{2} + \frac{3}{2}$

$\frac{5x^3}{2} - \frac{9x^2}{4} - \frac{5x}{2} + \frac{3}{2}$

(b) No, the products are not same

Because $(\frac{1x}{2} - \frac{1}{4}) is interchanged as (\frac{1x}{4} - \frac{1}{2})$. when the terms are interchanged then the product will not be same