4p² + 5pq – 6pq²
Factorise
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Step-by-step explanation:
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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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