Solve the product (2/7x^2y-4)(2/7x^2y-5)

 Exercise

$\left(\frac{2}{7}x^2y-4\right)\left(\frac{2}{7}x^2y-5\right)$

 

Multiply the single term $\frac{2}{7}x^2y-5$ by each term of the polynomial $\left(\frac{2}{7}x^2y-4\right)$

$\frac{2}{7}x^2y\left(\frac{2}{7}x^2y-5\right)-4\left(\frac{2}{7}x^2y-5\right)$

 

Multiply the single term $-4$ by each term of the polynomial $\left(\frac{2}{7}x^2y-5\right)$

$\frac{2}{7}x^2y\left(\frac{2}{7}x^2y-5\right)-4\frac{2}{7}x^2y+20$

 

Simplifying

$\frac{2}{7}x^2y\left(\frac{2}{7}x^2y-5\right)-\frac{8}{7}x^2y+20$

 

Solve the product $\frac{2}{7}x^2y\left(\frac{2}{7}x^2y-5\right)$

$\left(\frac{4}{49}x^2y-\frac{10}{7}\right)x^2y-\frac{8}{7}x^2y+20$

 

Expand the expression $\left(\frac{4}{49}x^2y-\frac{10}{7}\right)x^2y-\frac{8}{7}x^2y+20$ completely and simplify

$\frac{4}{49}y^2x^{4}-\frac{18}{7}x^2y+20$

$\frac{4}{49}y^2x^{4}-\frac{18}{7}x^2y+20$

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