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(ii) $mn+5-2,mn+3$

adding the following terms we will get Subtracting  We will get

(i)  $m-n,m+n$

Adding   Will give the result as follows Subtracting  Will give the result as follows

Classify the following expressions as a monomial, a binomial or a trinomial:

$a,a+b.ab+a+b,ab+a+b-5,xy,xy+5,5x^{2}-x+2,4pq-3q+5p,7,4m-7n+10,4mn+7.$

Monomial: a, xy, 7 binomial: a+b, xy+5, 4mn+7 Trinomial: ab+a+b, 5x2-x+2, 4pq-3q+5p, 4m-7n+10 Polynomial with 4 terms: ab+a+b-5

Q.1.     Group the like terms together from the following:

(i) $12x$,  $12$ ,  $-25x$,  $-25$$-25y$$1$$x$$12y$$y$

The like terms are grouped below Group 1: , ,  Group 2: , ,  Group 3: , ,

Identify the coefficients of the terms of following expressions:

$4x-3y,a+b+5,2y+5,2xy$

i)  has two terms 4x and -3y the coefficient of x is 4 and the coefficient of y is -3 ii) a+b+5 has 3 terms a,b and a constant that is 5. the coefficient of a is 1 and b is also 1. Constant terms have no coefficient  iii) 2y+5 has two terms 2y and 5 which is constant.  The coefficient of y is 2. Constant terms have no coefficient  iv) 2xy has only one term which is 2xy and the coefficient of xy is 2

Write three expressions each having 4 terms.

We can write as many expressions we need with 4 terms. Following are a few examples of expression with 4 terms

What are the terms in the following expressions? Show how the terms are formed. Draw a tree diagram for each expression:

$8y+3x^{2},7mn-4,2x^{2}y.$

The terms in the expression are        is obtained by adding the product of 8 and y with the product of 3 x and x the tree diagram for the expression is given below  has two terms 7mn and 4 and the expression is obtained by subtracting 4 from the product of 7,m and n. The tree diagram is shown below.  has only one term, that is the expression itself. The expression is formed by multiplying...

Describe how the following expressions are obtained:

$7xy+5, x^{2} y,4x^{2}-5x$

the above expression is obtained by adding 7xy with 5. Here 7xy is obtained by multiplying 7,x and y   the above expression is obtained by subtracting the product of 5 and x from the product of 4,x and x
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