Question

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Answer 1

$\LARGE{ \underline{ \blue{ \sf{Required \: answer:}}}}$

In algebra more specifically in any polynomial, like terms are the terms with the same variables and same net total power or degree.

a) 7x - 3x + 8

• Like terms: 7x , -3x because they have the same variable x and the degree of the terms is equal i.e. 1

b) a + b + 2a - c

• Like terms: a , 2a because they have the same variable a and the degree is same for both.

c) 2xy - 5xz + 4yz - yz

• Like terms: 4yz , -yz because they are having same variables y and z. Also the total degree will be 2 for both. (Degree of y and z is 1 each).

Answer 2

Answer:

$\huge \fbox {Question}$

Write like terms of given polynomial

$\huge \fbox {Answer}$

$1. \: 7x - 3x + 8$

Like terms = In the given polynomial the like terms are 7x and 3x .

Reason - Since, they have same variable as x . And also the degree is 1.

$2.a + b \: + 2a - c$

Like terms = In the given polynomial a and 2a are like terms.

Reason - The variable are same 'a' . And the degree is 1.

$2xy - 5xz + 4yz - yz$

Like terms = In the given polynomial 4yz and yz are like terms

Reason - Since, they are having same variables y and z. And the degree will be same in both

$\small \fbox {Extra information}$

$\huge \sf {Polynomial}$

Polynomials are the algebraic expressions which consist of variables and coefficients.

$\huge \sf {Variable}$

Variable are those words that have indefinite value . Example - x , y

$\huge \sf {Constant}$

Constant are words that have specific value . Example - 25,60,98,1