Question

Expand :(2p+ q+5) ^2​

Answer 1

Answer:

4p^2+q^2+4pq+10q+20p+25

Step-by-step explanation:

(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab +2bc

apply the above formula

Answer 2

Answer:

Let us expand the given expression:

(2p + q + 5)2 = (2p)2 +(q)2 +(5)2 + [ 2 ×(2p)×(q)] + [ 2 ×(q)×(5)] + [ 2 ×(2p)×(5)]

By using the formula,

(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac

Here, a = 2p, b = q, c = 5

Now, substitute the value we get

= 4p2 + q2 + 25 + [4pq] + [10q] + [20p]

= 4p2 + q2 + 25 + 4pq + 10q + 20p

∴ (2p + q + 5)2 = 4p2 + q2 + 25 + 4pq + 10q + 20p