Question

factorise (a) a²-10ab+25b²-16c² (b)m⁴-81​

Answer 1

1.

a² - 10ab + 25b² - 16c²

= a(a - 10b) + 25b² - 16c²

= a(a - 10b) + (5b)² - (4c)²

= a(a - 10b) + (5b - 4c)(5b + 4c)

2.

m⁴ - 81

= (m²)² - (9)²

= (m² - 9)(m² + 9)

= (m² - (3)²)(m² + 9)

= (m - 3)(m + 3)(m² + 9)

Answer 2

Answer:

Step-by-step explanation:

A. This part cannot be factorised as it has three variables....

B. m^4 - 81

=m^4 - 3^4

=(m^2)^2 - (3^2)^2

= (m^2 - 3^2)(m^2 + 3^2)

= (m - 3)(m + 3)(m^2 + 9)

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