Find the product
-$\left(\mathrm{q}-\frac{4}{7} \mathrm{r}\right)^{2}$

A) $q^{2}+\frac{16}{49} r^{2}$
B) $q^{2}-\frac{16}{49} r^{2}$
C) $q^{2}-\frac{8}{7} q r+\frac{16}{49} r^{2}$
D) $q^{2}-\frac{4}{7} q r-\frac{16}{49} r^{2}$

Question

Find the product
-$\left(\mathrm{q}-\frac{4}{7} \mathrm{r}\right)^{2}$

A) $q^{2}+\frac{16}{49} r^{2}$
B) $q^{2}-\frac{16}{49} r^{2}$
C) $q^{2}-\frac{8}{7} q r+\frac{16}{49} r^{2}$
D) $q^{2}-\frac{4}{7} q r-\frac{16}{49} r^{2}$

Quizplus · Accepted Answer

To find the product $\left(\mathrm{q}-\frac{4}{7} \mathrm{r}\right)^{2}$, we use the formula $(a-b)^2 = a^2 - 2ab + b^2$, where $a = q$ and $b = \frac{4}{7}r$. Applying the formula, we get $q^2 - 2\left(q \cdot \frac{4}{7}r\right) + \left(\frac{4}{7}r\right)^2 = q^2 - \frac{8}{7}qr + \frac{16}{49}r^2$.

Find the Product - (q−47r)2\left(\mathrm{q}-\frac{4}{7} \mathrm{r}\right)^{2}(q−74​r)2 A) q2+1649r2q^{2}+\frac{16}{49} r^{2}q2+4916​r2 B) q2−1649r2q^{2}-\frac{16}{49} r^{2}q2−4916​r2 C) q2−87qr+1649r2q^{2}-\frac{8}{7} q r+\frac{16}{49} r^{2}q2−78​qr+4916​r2

Find the Product
- $\left(\mathrm{q}-\frac{4}{7} \mathrm{r}\right)^{2}$ A) $q^{2}+\frac{16}{49} r^{2}$ B) $q^{2}-\frac{16}{49} r^{2}$ C) $q^{2}-\frac{8}{7} q r+\frac{16}{49} r^{2}$