Question

Factorise 36p^2-84pq+49q^2

Answer 1

Answer:

Step-by-step explanation:

this equation is a identity

the answer (6p+7q)^2

Answer 2

Answer:

Final result :

(6p - 7q)2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((36 • (p2)) - 84pq) + 72q2

STEP

2

:

Equation at the end of step

2

:

((22•32p2) - 84pq) + 72q2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 36p2 - 84pq + 49q2

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

Found a factorization : (6p - 7q)•(6p - 7q)

Detecting a perfect square :

3.2 36p2 -84pq +49q2 is a perfect square

It factors into (6p-7q)•(6p-7q)

which is another way of writing (6p-7q)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