Simplify the algebraic expression:
abc + ab^2c + 2acb^2 + 3c²ab + b^2ac - 2a²bc + 3 cab^2
Answers
Answer:
(i) a2
(ii) a2 − b2
(iii) x3 + y3 + z3
(iv) x3 + y3 + z3 + 3xyz
(v) 7 + 5
(vi) a b c + 1
(vii) 3x – 2 + 5
(viii) 2x – 3y + 4
(ix) x y + y z + z x
(x) ax3 + bx2 + cx + d
Solution:
(i) Given a2
a2 is a monomial expression because it contains only one term
(ii) Given a2 − b2
a2 − b2 is a binomial expression because it contains two terms
(iii) Given x3 + y3 + z3
x3 + y3 + z3 is a trinomial because it contains three terms
(iv) Given x3 + y3 + z3 + 3xyz
x3 + y3 + z3 + 3xyz is a quadrinomial expression because it contains four terms
(v) Given 7 + 5
7 + 5 is a monomial expression because it contains only one term
(vi) Given a b c + 1
a b c + 1 is a binomial expression because it contains two terms
(vii) Given 3x – 2 + 5
3x – 2 + 5 is a binomial expression because it contains two terms
(viii) Given 2x – 3y + 4
2x – 3y + 4 is a trinomial because it contains three terms
(ix) Given x y + y z + z x
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