Question

Factorise
36n^2 - 5

its for personal work

Answer 1

Answer:

(2^2•3^2n^2) - 5

Step-by-step explanation:

Trying to factor as a Difference of Squares:

2.1 Factoring: 36n2-5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Answer 2

(2^2.3^2^2) - 5

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