alegerbra equation

Question

can somebody please expand 6g + 2g (3g + 7)..... my revision guide states that it is equal to.... 6g + 2g x 3g + 2g x 7 but I thought that it would equal to 6g + 2g x 3g + 6g +2g x 7... if I am wrong can somebody please explain to me I wouldn’t put the additional 6g in and why the 2g is added twice. many thanks

Answer 1

Use the distributive property.

 

6g + 2g(3g + 7) = 6g + 2g(3g) + 2g(7) = 6g + 6g² + 14g = 20g + 6g²

 

The 6g appears only once.  It cannot be added twice.  The 2g multiplies both 3g and 7, so you have to add both products.