Question

factorise 50(x+y)²-18(x-y)²
​

Answer 1

Answer:

8(4x+y)(x+4y)

Step-by-step explanation:

50(x+y)2−18(x−y)250(x+y)2-18(x-y)2

Factor 22 out of 50(x+y)2−18(x−y)250(x+y)2-18(x-y)2.

Tap for more steps...

2(25(x+y)2−9(x−y)2)2(25(x+y)2-9(x-y)2)

Rewrite 25(x+y)225(x+y)2 as (5(x+y))2(5(x+y))2.

2((5(x+y))2−9(x−y)2)2((5(x+y))2-9(x-y)2)

Rewrite 9(x−y)29(x-y)2 as (3(x−y))2(3(x-y))2.

2((5(x+y))2−(3(x−y))2)2((5(x+y))2-(3(x-y))2)

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=5(x+y)a=5(x+y) and b=3(x−y)b=3(x-y).

2((5(x+y)+3(x−y))(5(x+y)−(3(x−y))))2((5(x+y)+3(x-y))(5(x+y)-(3(x-y))))

Factor.

Tap for more steps...

2⋅2(4x+y)(5(x+y)−3(x−y))2⋅2(4x+y)(5(x+y)-3(x-y))

Multiply  2 by 2.

4(4x+y)(5(x+y)−3(x−y))4(4x+y)(5(x+y)-3(x-y))

Apply the distributive property.

4(4x+y)(5x+5y−3(x−y))4(4x+y)(5x+5y-3(x-y))

Apply the distributive property.

4(4x+y)(5x+5y−3x−3(−y))4(4x+y)(5x+5y-3x-3(-y))

Multiply −1-1 by −3-3.

4(4x+y)(5x+5y−3x+3y)4(4x+y)(5x+5y-3x+3y)

Subtract 3x3x from 5x5x.

4(4x+y)(2x+5y+3y)4(4x+y)(2x+5y+3y)

Add 5y5y and 3y3y.

4(4x+y)(2x+8y)4(4x+y)(2x+8y)

Factor.

Tap for more steps...

4(4x+y)⋅2(x+4y)4(4x+y)⋅2(x+4y)

Multiply 22 by 44.

8(4x+y)(x+4y)

mark me

Answer 2

Step-by-step explanation:

these these are your answers please mark me as brain list because you are in my friend list