Question

Expand and simplify (2x+5) squared

Answer 1

Answer:

(2x)squared + 2 x 2x x 5 + (5)squared

4xsquared + 20x + 25

hope u understand it just use the formula (a+b) the whole square

Answer 2

The expanded and simplified answer is 4x² + 20x + 25

Given

(2x + 5)²

To Find

Expand and simplify

Solution

There are 2 ways to do this.

Way 1- without formula

(2x + 5)²

= (2x + 5)(2x + 5)

Now we will multiply every term in one bracket with all the terms in the other bracket to get

= 2x X 2x + 2x X 5 + 5 X 2x + 5X5

= 4x² 10x + 10x + 25

= 4x² + 20x + 25

Hence, the simplified answer is 4x² + 20x + 25

Way 2- with the formula

We can directly use the formula

(a + b)² = a² + 2ab + b²

Here, a = 2x, b = 5

Hence, this will be,

(2x)² + 2 X 2x X 5 + 5²

= 4x² + 20x + 25

Hence, the simplified answer is 4x² + 20x + 25

Therefore, the expanded and simplified answer is 4x² + 20x + 25

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