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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

Sagot :

Kaztralgamingidn

Answer:

(5r^2+4s)^2

Explanation:

its using the mathematical theory

Nepalieducationidn

Answer:

B

Explanation:

[tex]25r^4+40r^2s+16s^2 \\ (5{r}^{2} ) {}^{2} + 40 {r}^{2} s + (4 {s})^{2} \\ (5 {r}^{2} ) {}^{2} + 2 \times 5 {r}^{2} \times 4s + (4s) {}^{2} \\ (5 {r}^{2} + 4s) {}^{2} [/tex]

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

5r^2 is a

and 4s is b

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