Question

9x^2+16y^2+4-24xy-16y+12x Factorise the following

Answer 1

3.1 Factoring 9x2 - 24xy + 16y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (3x - 4y)•(3x - 4y)

Detecting a perfect square :

3.2 9x2 -24xy +16y2 is a perfect square

It factors into (3x-4y)•(3x-4y)
which is another way of writing (3x-4y)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms