Question

X³-y³+4ax²+4axy+4ay²​

Answer 1

Ответ:

$( {x}^{3} - {y}^{3} ) + 4a( {x}^{2} + xy + {y}^{2} ) = (x - y)(x {}^{2} +xy+y {}^{2} ) + 4a(x {}^{2} +xy+y {}^{2} ) = (x - y + 4a)(x {}^{2} +xy+y {}^{2} )$

Answer 2

The expression you've provided is a polynomial, and it seems like you might be interested in factoring it or simplifying it. The expression is:

X³ - y³ + 4ax² + 4axy + 4ay²

To factor this expression, you can use the difference of cubes formula and see if there are any common factors between the terms. The difference of cubes formula is:

a³ - b³ = (a - b)(a² + ab + b²)

In your expression, X³ - y³ can be factored using this formula:

X³ - y³ = (X - y)(X² + XY + y²)

So, your expression becomes:

(X - y)(X² + XY + y²) + 4ax² + 4axy + 4ay²

At this point, the expression is partially factored. You can further simplify it if you find common factors between the remaining terms:

4ax² + 4axy + 4ay² = 4a(x² + xy + y²)

Now, your fully factored expression is:

(X - y)(X² + XY + y²) + 4a(x² + xy + y²)

This is the factored form of the given expression.