Question

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

Answer 1

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)