Question

expand (2p+q+5)² expand it​

Answer 1

Answer:

On expansion , we get

(2p+q+5) 2

⟹(2p) 2+q2+5 2+2.(2p)(q)+2.(5)(q)+2.(2p)(5) ⟹4p2+q2+25+4pq+10q+20p☺️☺️

Answer 2

SOLUTION

TO DETERMINE

To expand :

$\sf {(2p + q + 5)}^{2}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf {(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

EVALUATION

Here the given expression is

$\sf {(2p + q + 5)}^{2}$

We know use the formula

$\boxed{ \: \sf {(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca \: }$

Thus we have

$\sf {(2p + q + 5)}^{2}$

$\sf = {(2p)}^{2} + {q}^{2} + {5}^{2} + 2 \times 2p \times q + 2 \times q \times 5+ 2 \times 5 \times 2p$

$\sf = 4{p}^{2} + {q}^{2} + 25 + 4p q + 10q + 20p$

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