Math, asked by keeku1620, 1 year ago

4p² + 5pq – 6pq²
Factorise

Answers

Answered by vijay3231
12

Step-by-step explanation:

The answer I solved above....

hope it helps!

Attachments:
Answered by topwriters
8

4p² + 5pq – 6pq² = (4p - 3q) (p + 2q)

Step-by-step explanation:

To factorize 4p² + 5pq – 6pq², we need to express pq as factors of the product of the 4 and 6.  

So -24 (=4 * -6) can also be written as +8 * -3, in order to get + 5.

So 4p² + 5pq – 6pq² can also be written as 4p² + 8pq - 3pq – 6pq²

Now, let's take the common factor out.  

We get 4p (p + 2q) - 3q (p + 2q)

= (4p - 3q) * (p + 2q)

So the factors of 4p² + 5pq – 6pq² is (4p - 3q) and (p + 2q).

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