Factorise the following. 49g^2 - 36h^2 - 28g - 24h

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

7 0

Answer: -4(7g - 6h)(7g + 6h)

Step-by-step explanation:

Separate the 4 terms into two groups of 2 terms. Then factor out the GCF of each group. You should end up with a common factor in each group - that is one of the factors. The other factor is what you factored out from each term.

49g² - 36h² - 28g - 24h

(7g - 6h)(7g + 6h) -4(7g + 6h)

They both have a common factor of (7g + 6h)

The terms factored out are (7g - 6h) and -4

So, the factorization is: -4(7g - 6h)(7g + 6h)

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