Question

16. p2 - 10pq +?
C. Factorise the​

Answer 1

Answer:

Changes made to your input should not affect the solution:

(1): "q2" was replaced by "q^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((p2) - 10pq) + 52q2

STEP

2

:

Trying to factor a multi variable polynomial

2.1 Factoring p2 - 10pq + 25q2

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

Found a factorization : (p - 5q)•(p - 5q)

Detecting a perfect square :

2.2 p2 -10pq +25q2 is a perfect square

It factors into (p-5q)•(p-5q)

which is another way of writing (p-5q)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 :

(p - 5q)2