3.1 Factoring: 4a2+8ab+11a+4b2+11b-3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 11b+11a Group 2: 8ab+4a2 Group 3: 4b2-3
Pull out from each group separately :
Group 1: (a+b) • (11)Group 2: (a+2b) • (4a)Group 3: (4b2-3) • (1)
Looking for common sub-expressions :
Group 1: (a+b) • (11) Group 3: (4b2-3) • (1) Group 2: (a+2b) • (4a)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Final result : 4a2 + 8ab + 11a + 4b2 + 11b - 3