Question

x³ - 4xy²
help me out please​

Answer 1

Answer:

x. (x+2y).(x-2y)

Step-by-step explanation:

x3 - 4xy2 = x • (x2 - 4y2)

Factoring: x2 - 4y2

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 : x2 is the square of x1

Check : y2 is the square of y1

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

Answer 2

Step-by-step explanation:

if the équation is

x^3-4xy^2=0

then take x common

x(x^2-4y^2)=0

x(x+2y)(x-2y)=0. [since

${x}^{2} - {(2y)}^{2} = (x + 2y)(x - 2y)$

then x=0 or x= -2y or x= 2y