Factor the expression
36s^2-25

(6x + 5) • (6x - 5)

Step-by-step explanation:

36x2-25

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22•32x2) -  25

Step  2  :

Trying to factor as a Difference of Squares :

2.1      Factoring:  36x2-25

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  x2  is the square of  x1

Factorization is :       (6x + 5)  •  (6x - 5)

Final result :

 (6x + 5) • (6x - 5)

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !