Fundamental laws of Algebra

  • Subtraction in Algebra
    Since subtraction is the inverse operation to that of addition, to subtract a positive quantity produces a decrease, and to subtract a negative quantity produces an increase. Hence to subtract a positive quantity we must subtract its absolute value, and to subtract a negative quantity we must add its absolute value. Thus, to subtract + 4 from 4-10, we must decrease the amount by 4 ; we then get +10 4.   Also to subtract 4 from + 6, we must increase the amount by 4 ; we then get +6 + 4. H Read More...
  • Addition in Algebra
    The process of finding the result when two or more quantities are taken together is called addition, and the result is called the sum.   Since a positive quantity produces an increase, and a negative quantity produces a decrease, to add a positive quantity we must add its absolute value, and to add a negative quantity we must subtract its absolute value. Thus, when we add + 4 to + 6, we get + 6 + 4 ; and when we add 4 to + 10, we get + 10 4.   Hence + 6 + (+ 4) = + 6 + 4, &nb Read More...
  • Multiplication in Algebra
    Thus, the product of any two algebraical expressions is equal to the sum of the products obtained by multiplying every term of the one by every term of the other.   For example   (a + 6) (c + d) = ac 4- ad + be 4- bd ; also (3a + 56) (2a 4 36)   = (3a) (2a) + (3a) (36) + (56) (2a) + (56) (36) = 6a + 9a6 + 10a6 + 156 2 =-6a' + 19a6 + 156 2 .   Again, to find (a 6) (c d), we first write this in the form {a +(- 6)} {c +( d)\, and we then have for the product Read More...
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