Question

Find the value of p^{2} + 2pq + q^{2} if p = 3 and q = 5

Answer 1

Answer:

64

Step-by-step explanation:

p^2+2pq+q^2

Putting the values of p and q

3*3 + 2*3*5 + 5*5

9 + 30 + 25

64

Answer 2

Answer:

64

Step-by-step explanation:

Given the value of p = 3

Given the value of q = 5

Now just plugin the values to get your answer

p² + 2pq + q² = (p + q)²

Using identity (a + b)² = a² + 2ab + b²

Now, we can easily solve it aa:

(p + q)² = (3 + 5)²

(p + q)² = 8²

(p + q)² = 64

Hence, p² + 2pq + q² = 64