Question

a^{12}y^4-y^{12}a^4
please factorise it

Answer 1

Answer:

Step-by-step explanation:

a¹².y⁴ - a⁴.y¹²

you can write a¹² = a⁴.a^8

again, y¹² = y⁴.y^8

now use this,

= a⁴.a^8.y⁴ - a⁴.y⁴.y^8

you see that a⁴.y⁴ are common terms in both so,

= a⁴.y⁴( a^8 - y^8)

[ use,formula , x² - y² = (x - y)(x + y) ]

= a⁴.y⁴(a⁴ - y⁴)(a⁴ + y⁴)

=a⁴.y⁴(a² - y²)(a² + y²)(a⁴+y⁴)

=a⁴.y⁴(a - y)(a+ y)(a²+y²)(a⁴ + y⁴)

Answer 2

Answer:

a4y4(a4+y4)(a2+y2)(a+y)(a−y)

Step-by-step explanation:

Factor a12y4−y12a4

a12y4−a4y12

=a4y4(a4+y4)(a2+y2)(a+y)(a−y)

Hope it helps u

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