Multiplication of Two Binomials

In the multiplication of two binomials, we will use the distributive property of multiplication of literals over their addition.
Let us consider, two binomials say (a + b) and (c + d). By using the distributive property of multiplication of literals over their addition, we have
(a + b) x (c + d) = a x (c + d) + b x (c + d)
                  = (a x c + a x d) + (b x c + b x d)
                  = ac + ad + bc + bd.

To multiply any two binomials, we multiply each term of one binomial with every term of the other binomial and add all the products so obtained.

• Multiplication of Two Binomials

Linear Equations in One Variable

Two sides of an equation contain both variable (unknown quantity) and constants (numerals). In such cases, we first simplify two sides in their simplest forms and then transpose (shift) terms containing variable on R.H.S. to L.H.S and constant terms on L.H.S to R.H.S. By transposing (shifting) a term from one side to the other side, we mean changing its sign and carrying it to the other side.

In transposition the plus sign (+) of the term changes into minus sign (-) on the other side and vice-versa.

• Linear Equations in One Variable