Question

16m⁵-144m³ factorise using identity

Answer 1

16m⁵-144m³

16m³(m²-9)

16m³(m²-3²)

using identity: a²-b²= (a+b)(a-b)

16m³(m+3)(m-3)

hope it helps..

Answer 2

Question:

Factorise using identity.

a)16m⁵-144m³

Solution:

16m⁵-144m³

=16m²-m³-144m³

Taking m³ common,

=m³(16m²-144)

=m³( (4m)²- (12)² )

Using a² -b² =(a+b)(a-b)

Here, a = 4 and b = 12.

=m³(4m+12)(4m-12)

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Both have 4 as a common factor.

=m³×4(m+3)×4(m-3)  

=m³×4×4(m+3)(m-3)

=16m³(m+3)(m-3)  

∴The factorisation of 16m⁵-144m³ using identity = 16m³(m+3)(m-3) .