Question

Which of the following expressions is equivalent to 25r^4+40r^2s+16s^2?

A. (5r+4s)^2
B. (5r^2+4s)^2
C. (5r+4s^2)^2
D. (5r^2+4s^2)^2

Answer 1

B

Step-by-step explanation:

`25r^4+40r^2s+16s^2 \\ (5{r}^(2) ) {}^(2) + 40 {r}^(2) s + (4 {s})^(2) \\ (5 {r}^(2) ) {}^(2) + 2 * 5 {r}^(2) * 4s + (4s) {}^(2) \\ (5 {r}^(2) + 4s) {}^(2)`

In the third step we use (a+b)^2 formula.

5r^2 is a

and 4s is b

Answer 2

(5r^2+4s)^2

Step-by-step explanation:

its using the mathematical theory