Question

Brainliest List..I'll add u plz help
9th grade Q...

Factorie:

x6-y6
Those two 6 are its powers n my problem is that it has no middle term to split...

Answer 1

x^6 = (x³)²

and, y^6 = (y³)²

so, x^6 - y^6

= (x³)² - (y³)²

Now using, a² - b² = (a + b)(a - b)

assuming a = x³ and b = y³

(x³)² - (y³)²

= (x³ + y³)(x³ - y³)

now using the identity,

a³ - b³ = (a - b)(a² + b² + ab)
and a³ + b³ = (a + b)(a² + b² - ab)

we get,

(x³ + y³)(x³ - y³)

= (x + y)(x² + y²- xy)(x - y)(x² + y² + xy)


Hope it helps dear friend ☺️✌️✌️

Answer 2

Given Equation is x^6 - y^6

It can be written as,

= > (x^3)^2 - (y^3)^2

We know that a^2 - b^2 = (a + b)(a - b)

= > (x^3 + y^3)(x^3 - y^3)

We know, a^3 + b^3 = (a + b)(a^2 - ab + b^2), a^3 - b^3 = (a - b)(a^2 + ab + b^2)

= > (x + y)(x^2 - xy + y^2)(x^3 - y^3)

= > (x + y)(x^2 - xy + y^2)(x - y)(x^2 + xy + y^2)

= > (x + y)(x - y)(x^2 - xy + y^2)(x^2 + xy + y^2).

Hope this helps!