Question

expand and simplify (2x+5)^2

Answer 1

Answer:

4x²+20x+25.

Step-by-step explanation:

(2x+5)²

=[(2x)²+5²+2.2x.5] (a²+b²+2ab=(a+b)²)

=4x²+25+20x

=4x²+20x+25.

Answer 2

Answer:

=> $4x^2+20x+25$

Step-by-step explanation:

As per the given data in the question we have to expand and simplify the given expression.

Given that:-

$(2x+5)^2$

The expression has the power of 2,

So it is written as

=> $(2x+5)(2x+5)$

By distributing the above expression,

=> $2x(2x+5)+5(2x+5)$

Multiplying the terms with the terms of the brackets,

=> $4x^2+10x+10x+25$

Now, combining the like terms,

So we will get,

=> $4x^2+20x+25$

Hence, the required solution is $4x^2+20x+25$.