(a^2-b^2-c^2+d^2)^2-4(ad-bc)
full explenation
Answers
Answer:
(1): "d2" was replaced by "d^2". 3 more similar replacement(s).
STEP1:
Equation at the end of step 1
(((((a2)-(b2))-(c2))+(d2))•2)-4•(ad-bc)
STEP2:
Equation at the end of step 2
2 • (a2 - b2 - c2 + d2) - 4 • (ad - bc)
STEP3:
STEP4: Pulling out like terms
4.1 Pull out like factors :
2a2 - 4ad - 2b2 + 4bc - 2c2 + 2d2 = 2 • (a2 - 2ad - b2 + 2bc - c2 + d2)
Trying to factor by pulling out :
4.2: Factoring: a2 - 2ad - b2 + 2bc - c2 + d2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2bc - b2
Group 2: -2ad + a2
Group 3: -c2 + d2
Pull out from each group separately :
Group 1: (b - 2c) • (-b)
Group 2: (a - 2d) • (a)
Group 3: (-c2 + d2) • (1) = (c2 - d2) • (-1)
Looking for common sub-expressions :
Group 1: (b - 2c) • (-b)
Group 3: (c2 - d2) • (-1)
Group 2: (a - 2d) • (a)
The groups have no common factor and can not be added up to form a multiplication.
Final result :
2 • (a2 - 2ad - b2 + 2bc - c2 + d2)