Question

2(x-y)^2[2(x-y)+3] solve this​

Answer 1

2(x - y)²[2(x - y) + 3] = 4[(x - y)³] + 3[(x - y)²].

Explanation:

Given: 2(x - y)²[2(x - y) + 3]

We know the formula for (a - b)³ = a³ - b² - 3a²b + 3ab² and (a - b)² = a² + b² - 2ab.

= (x - y)²[4x - 4y + 3]

= x² + y² - 2xy [4x - 4y + 3]

= 4x³ - 4x²y + 3x² + 4xy² - 4y³ + 3y² - 8x²y + 8xy² - 6xy

= 4x³ - 4y² - 12x²y + 12xy²+ 3x² + 3y² - 6xy

= 4(x³ - y² - 3x²y + 3xy²) + 3(x² + y² - 2xy)

= 4[(x - y)³] + 3[(x - y)²]

To know more:

(x+y)³+4(X+y)²+4x+4y - Brainly.in

https://brainly.in/question/1976077

Simplify (x+y)³-(x-y)³-6y(x²-y²) - Brainly.in

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