Question

8x²-24xy+18x² factorization step by step ​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((8 • (x2)) + 24xy) + (2•32y2)

STEP

2

:

Equation at the end of step

2

:

(23x2 + 24xy) + (2•32y2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

8x2 + 24xy + 18y2 = 2 • (4x2 + 12xy + 9y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 4x2 + 12xy + 9y2

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

Found a factorization : (2x + 3y)•(2x + 3y)

Detecting a perfect square :

4.3 4x2 +12xy +9y2 is a perfect square

It factors into (2x+3y)•(2x+3y)

which is another way of writing (2x+3y)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

Final result :

2 • (2x + 3y)2