Question

64x^2-8x+25(factorise)pls answer​

Answer 1

Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 26x2 -  25

STEP

2

:

Trying to factor as a Difference of Squares:

2.1      Factoring:  64x2-25  

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 :  64  is the square of  8  

Check : 25 is the square of 5

Check :  x2  is the square of  x1  

Factorization is :       (8x + 5)  •  (8x - 5)  

Final result :

 (8x + 5) • (8x - 5)