Question

factorize-4 x 2 – 25y 2​

Answer 1

Step-by-step explanation:

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(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)

Answer 2

Answer:

−8−50y

Step-by-step explanation:

q:−4×2−25y×2

Simplify  -4\times 2−4×2  to  -8−8.

−8−25y×2

Simplify  25y\times 225y×2  to  50y50y

−8−50y

THX