Question

Expand and simplify
(2x + 5)^2

Answer 1

Answer: 4x^2 + 10x + 25

Explanation:

(2x+5)^2 = (2x)^2 + 2(2x * 5) + 5^2

= 4x^2 + 10x + 25

Answer 2

`{ \tt{ {(2x + 5)}^(2) }}`

» split the bracket to remove the power or the index:

`= { \tt{(2x + 5)(2x + 5)}}`

» Use distributive property to open the brackets:

`= { \tt{(4 {x}^(2) + 10x + 10x + 25)}} \\ = { \tt{( {4x}^(2) + 20x + 25) }}`