Algebraic Expressions
Points
to be Remember:-
1. We
having the following thumb-rule for multiplying any number of
monomials:
(i) The coefficient of the product of given
monomials is the product of
coefficients of these monomials.
(ii) The literal part of the product contains all
the literals occurring in
the given monomials. The exponents of
each literal is the sum of
the exponents of this literal in the
given monomials.
2. To multiply a monomial and a binomial, we use
the following
properties:
(i) a
(b + c) = ab + ac; a(b – c) = ab – ac
(ii) (a +b)c = ac + bc ; (a – b) c = ac – bc
Points
to be Remember:-
To
multiply binominals, we use the following properties:
(a + b) (c + d) = a(c +d) + b(c + d)
(a + b) (c + d) = (a + b)c + (a + b)d.
To
multiply binominals with a trinomial we use the following properties:
(a + b) (c + d + e) = a (c + d + e) +
b(c + d + e)
= ac + ad + ae + bc + bd + be
Or (a + b) (c + d + e) = (a + b)c + (a + b)d +
(a + b)e
= ac + bc
+ ad + bd + ae + be
Points
to be Remember:-
1.
(a + b)2 = a2 + 2ab + b2
2.
(a - b)2 = a2 - 2ab + b2
3.
(a – b) (a + b) = a2 – b2
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