a(b2-c2)+b(c2-a2)+c(a2-b2)
Answers
Given: The term a(b²-c²)+b(c²-a²)+c(a²-b²)
To find: Simplify the above term.
Solution:
- Now we have given the term a(b²-c²)+b(c²-a²)+c(a²-b²)
- Multiplying it, we get:
ab²- ac² + bc² - a²b + c ( a² - b² )
ab² - a²b - ac² + bc² + c ( a - b )( a + b )
-ab( a - b ) - c²( a - b ) + c ( a - b )( a + b )
- Taking a - b common, we get:
( a - b ) x ( -ab - c² + ac + bc )
( a - b ) x ( -ab + ac - c² + bc )
( a - b ) x ( -a( b - c ) + c ( b - c ) )
( a - b ) x ( c - a ) x ( b - c )
Answer:
So the simplified form is ( a - b ) x ( c - a ) x ( b - c ) .
Answer:So simplified form is ( a - b ) x ( c - a ) x ( b - c ) .
Step-by-step explanation:: The Given term a(b²-c²)+b(c²-a²)+c(a²-b²)
To find: Simplify the above term.
Solution:
• Now we have given the term a(b²-c²)+b(c²-a²)+c(a²-b²)
• Multiplying it, we get:
ab²- ac² + bc² - a²b + c ( a² - b² )
ab² - a²b - ac² + bc² + c ( a - b )( a + b )
-ab( a - b ) - c²( a - b ) + c ( a - b )( a + b )
• Taking a - b common, we get:
• ( a - b ) x ( -ab - c² + ac + bc )
• ( a - b ) x ( -ab + ac - c² + bc )
• ( a - b ) x ( -a( b - c ) + c ( b - c ) )
• ( a - b ) x ( c - a ) x ( b - c )