Question

a^6x^4-a^4x^6 Factorise​

Answer 1

Answer:

$a^{4} x^{4} (a-x)(a+x)$

Step-by-step explanation:

a^6x^4 - a^4x^6

(a³x² - a²x³)(a³x² + a²x³)

a²x²(a-x)a²x²(a+x)

$a^{4} x^{4} (a-x)(a+x)$

Answer 2

Answer:

a^4 x^4(-x + a)(x +a)

Step-by-step explanation:

a^6 x^4-a^4x^6

Factor out a^4 and x^4

a^4x^4(a^2-x^2)

Consider a^2- x^2. The difference of squares can be factored using the rule:

p^2 - q^2= (p - q) (p + q)

(a-x) (a + x)

Reorder the terms

(-x + a) (x + a)

Rewrite the complete factorised ecpression

a^4 x^4(-x + a) (x + a)