Question

factors of (a+2b)2-(a+2b)(3a-7b)​

Answer 1

Answer:

(a+2b) 2−(a+2b)(3a−7b)

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns=>whenthereisnegativesigninfrontofbracketthen

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns=>whenthereisnegativesigninfrontofbracketthenchangethesignofeachterminbracket

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns=>whenthereisnegativesigninfrontofbracketthenchangethesignofeachterminbracket(a+b)(a+2b−3a+7b)

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns=>whenthereisnegativesigninfrontofbracketthenchangethesignofeachterminbracket(a+b)(a+2b−3a+7b)collectliketerms

2−(a+2b)(3a−7b)factorouta+2bfromtheexpression(a+2b)(a+2b−(3a−7b))removebracketsandchangesigns=>whenthereisnegativesigninfrontofbracketthenchangethesignofeachterminbracket(a+b)(a+2b−3a+7b)collectliketerms(a+2b)(−2a+9b)

Answer 2

Answer:

Step-by-step explanation:

(a+2b) 2 - (a +2b) (3a-7b)

=2a+4b - a - 2b(3a-7b)

=2a + 4b - a - 6ab + 14b2

=a + 4b - a - 6ab + 14b2