Question

Factorise the following by taking out the common factors:
24m⁴n⁶ + 56m⁶n⁴ - 72m²n²

Answer 1

24m⁴n⁶ + 56m⁶n⁴ - 72m²n² 
Here, the common factor is 8m2n2
Dividing throughout by 3a, we get

`(24"m"^4"n"^6)/(8"m"^2"n"^2) + (56"m"6"n")/(8"m"^2"n"^2) - (72"m"^2"n"^2)/(8"m"^2"n"^2)`
= 3m²n⁴ + 7m⁴n² - 9
∴ 24m⁴n⁶ + 56m⁶n⁴ - 72m²n²
= 8m²n²(3m²n⁴ + 7m⁴n² - 9).