Question

Fill in the blanks.
(i) An expression having one term is called a ...... .
(ii) An expression having two term is called a ...... .
(i) An expression having three term is called a ...... .
(iv) $3x-5=7-x\Rightarrow x=.......$
(v) $(b^2-a^2)-(a^2-b^2)$= ...... .

Answer 1

(i) monomial: An expression having one term is called a monomial.
Example: $4x,x^2$ and $3$ are monomials.
(ii) Binomial: An expression having two terms is called a binomial.
Example: $2x+1,x^2+1,x^2-x$ are binomials.
(iii) trinomial: An expression having three terms is called trinomial.
Example:$x^3-x+1,x^6+x^2-1$ are trinomials.
(iv) Given $3x-5=7-x$
$\Rightarrow 3x+x=7+5$ [Transposing $x$ to the L.H.S. and $5$ to the R.H.S.]
$\Rightarrow 4x=12$
$\Rightarrow x=\frac{12}{4}$
$\therefore x=3$
(v)
Given $(b^2-a^2)-(a^2-b^2)$
$=b^2-a^2-a^2+b^2$
$\therefore (b^2-a^2)-(a^2-b^2)=2b^2-2a^2$