Find the product
-$\left(5 x-\frac{1}{2} y\right)(x+5 y)$

A) $5 x^{2}-\frac{49}{2} x y-\frac{5}{2} y^{2}$
B) $5 x^{2}+\frac{49}{2} x y+\frac{1}{2} y^{2}$
C) $5 x^{2}+\frac{49}{2} x y-\frac{5}{2} y^{2}$
D) $5 x^{2}-\frac{9}{2} x y-\frac{5}{2} y^{2}$

Question

Find the product
-$\left(5 x-\frac{1}{2} y\right)(x+5 y)$

A) $5 x^{2}-\frac{49}{2} x y-\frac{5}{2} y^{2}$
B) $5 x^{2}+\frac{49}{2} x y+\frac{1}{2} y^{2}$
C) $5 x^{2}+\frac{49}{2} x y-\frac{5}{2} y^{2}$
D) $5 x^{2}-\frac{9}{2} x y-\frac{5}{2} y^{2}$

Quizplus · Accepted Answer

To find the product, use the distributive property (FOIL method for binomials): $(5x-\frac{1}{2}y)(x+5y) = 5x^2 + 25xy - \frac{1}{2}xy - \frac{5}{2}y^2 = 5x^2 + \frac{49}{2}xy - \frac{5}{2}y^2$.

Find the Product - (5x−12y)(x+5y)\left(5 x-\frac{1}{2} y\right)(x+5 y)(5x−21​y)(x+5y) A) 5x2−492xy−52y25 x^{2}-\frac{49}{2} x y-\frac{5}{2} y^{2}5x2−249​xy−25​y2

Find the Product
- $\left(5 x-\frac{1}{2} y\right)(x+5 y)$ A) $5 x^{2}-\frac{49}{2} x y-\frac{5}{2} y^{2}$