Question
Simplify the expression
−7ca+2cb+4c2−3a2−5ab+2b2
Evaluate
4c(−a+b+c)−3a(a+b+c)−2b(a−b+c)
Expand the expression
More Steps

Calculate
4c(−a+b+c)
Apply the distributive property
4c(−a)+4cb+4c×c
Multiply the numbers
−4ca+4cb+4c×c
Multiply the terms
−4ca+4cb+4c2
−4ca+4cb+4c2−3a(a+b+c)−2b(a−b+c)
Expand the expression
More Steps

Calculate
−3a(a+b+c)
Apply the distributive property
−3a×a−3ab−3ac
Multiply the terms
−3a2−3ab−3ac
−4ca+4cb+4c2−3a2−3ab−3ac−2b(a−b+c)
Expand the expression
More Steps

Calculate
−2b(a−b+c)
Apply the distributive property
−2ba−(−2b×b)−2bc
Multiply the terms
−2ba−(−2b2)−2bc
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2ba+2b2−2bc
−4ca+4cb+4c2−3a2−3ab−3ac−2ba+2b2−2bc
Subtract the terms
More Steps

Evaluate
−4ca−3ac
Rewrite the expression
−4ca−3ca
Collect like terms by calculating the sum or difference of their coefficients
(−4−3)ca
Subtract the numbers
−7ca
−7ca+4cb+4c2−3a2−3ab−2ba+2b2−2bc
Subtract the terms
More Steps

Evaluate
4cb−2bc
Rewrite the expression
4cb−2cb
Collect like terms by calculating the sum or difference of their coefficients
(4−2)cb
Subtract the numbers
2cb
−7ca+2cb+4c2−3a2−3ab−2ba+2b2
Solution
More Steps

Evaluate
−3ab−2ba
Rewrite the expression
−3ab−2ab
Collect like terms by calculating the sum or difference of their coefficients
(−3−2)ab
Subtract the numbers
−5ab
−7ca+2cb+4c2−3a2−5ab+2b2
Show Solution
