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      Operations with algebriac terms      

Substitution__________________________________________________1.

We can substitute letters by numbers.

An expression doesn't have any meaning if the substitutional value of the denominator is equal to zero.
If n=2 then 9n+13=9x2+13=18+13=31

Addition and Subtraction________________________________________2.

We can add like terms:
3x+6+9x+12=12x+18

We can subtract like terms:
15f-19-58f+87=-43f+68

We can remove the brackets if we take consider the sign before it:
(7m+12)-(3m-8)=7m+12-3m+8=4m+20

Multiplication_________________________________________________3.

We can multiply a two term expression by a one term expression if we multiply each term of the two term expression by the single term one and then we add together the products.
6a(5x+7y)=30ax+42ay
(3d+4t)8b=24bd+32bt

We can multiply two expressions containing several terms by multiplying each term of the first expression by each term of the second one and then adding together the products.
(3a+2b)(5a+7)=15a2+10ab+21a+14b=
=15a2+31a+14b

Factorization_________________________________________________4.

When we start with a sum and write it as a product, we call it factorization.
6ab+5b+11bcd=b(6a+5+11cd)
12xy+28xz+32wx=4x(3y+7z+8w)

Division_____________________________________________________5.

We can divide two expressions only if the denominator or the divisor is not equal to zero!!!

Division can be done only if both the numerator (dividend) and the denominator (divisor) have the same factor.

Oldal: Operations with algebraic terms
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