FACTORISE (a-b)²-(c-d)²
Answers
Answered by
9
Answer:
a2 - 2ab + b2 - c2 + 2cd - d2
Step-by-step explanation:
Evaluate : (a-b)2 = a2-2ab+b2
Evaluate : (c-d)2 = c2-2cd+d2
Factoring: a2-2ab+b2-c2+2cd-d2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2cd-c2
Group 2: -2ab+a2
Group 3: b2-d2
Pull out from each group separately :
Group 1: (c-2d) • (-c)
Group 2: (a-2b) • (a)
Group 3: (b2-d2) • (1)
Looking for common sub-expressions :
Group 1: (c-2d) • (-c)
Group 3: (b2-d2) • (1)
Group 2: (a-2b) • (a)
The groups have no common factor and can not be added up to form a multiplication.
∴ (a-b)²-(c-d)²=a2 - 2ab + b2 - c2 + 2cd - d2
Similar questions