Simplify 2 square root of 5 plus 3 square root of 5 minus square root of5?

The answer is 4√5

Step-by-step explanation:

Simplify 2√5 + 3√5 - √5

We can simplify this operation this way:

√5 (2 + 3 - 1) or (2 + 3 - 1)√5

Now, we resolve the operations inside the parenthesis:

√5 (5 - 1) = √5 (4) = 4√5 or (5 - 1) √5 = (4) √5 = 4√5

So, the result of the simplification of this operation is 4√5.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions