Question

32a square - 48ab
Factorise it.
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Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((32 • (a2)) - 48ab) + (2•32b2)

STEP

2

:

Equation at the end of step

2

:

(25a2 - 48ab) + (2•32b2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

32a2 - 48ab + 18b2 = 2 • (16a2 - 24ab + 9b2)

Trying to factor a multi variable polynomial :

4.2 Factoring 16a2 - 24ab + 9b2

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

Found a factorization : (4a - 3b)•(4a - 3b)

Detecting a perfect square :

4.3 16a2 -24ab +9b2 is a perfect square

It factors into (4a-3b)•(4a-3b)

which is another way of writing (4a-3b)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 • (4a - 3b)2

Answer 2

Answer:

I think so it's

2×(4a-3b)^2

Step-by-step explanation:

{(32×(a^2)}-48]+(2×32b^2)

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(25a^2