Question

4x^2-25y^2 factorise ​

Answer 1

Answer:

(2x+5y)(2x-5y)

Step-by-step explanation:

4x^2-25y^2

(2x)^2-(5y)^2

(2x+5y)(2x-5y)

Answer 2

Answer:

(2x + 5y) (2x - 5y

Step-by-step explanation:

(4 • (x2)) - 52y2

STEP

2

:

Equation at the end of step

2

:

22x2 - 52y2

STEP

3

:

Trying to factor as a Difference of Squares

3.1 Factoring: 4x2-25y2

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 : 4 is the square of 2

Check : 25 is the square of 5

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (2x + 5y) (2x - 5y)

Final result :

(2x + 5y) (2x - 5y)