Question

Algebraic Expressions
139
4. Find the sum of 5z+ 2yz? + 9yʻz – byz + 10y? and 8y? + 2zy - 62+y + 2zy - 32). Also, find the
coefficient of the term involving yz in the sum so obtained.​

Answer 1

Algebraic Expressions

Exercise 9.1

Question 1: Identify the terms, their coefficients for each of the following expressions.

(i)

5

x

y

z

2

–

3

z

y

Answer: Term:

x

y

z

2

-- Coefficient

=

5

Term:

z

y

-- Coefficient

=

3

(ii)

1

+

x

+

x

2

Answer: Term:

x

-- Coefficient

=

1

and Term:

x

2

-- Coefficient = 1

(iii)

4

x

2

y

2

–

4

x

2

y

2

z

2

+

z

2

Answer: 4 is the coefficient for

x

2

y

2

z

2

1 is the term for

z

2

(iv)

3

–

p

q

+

q

r

–

r

p

Answer: For each term the coefficient is 1

(v)

x

2

−

y

2

=

x

y

Answer:

1

2

is the coefficient for x and y and for xy it is 1

(vi)

0.3

a

–

0.6

a

b

+

0.5

b

Answer: 0.3 is the coefficient for a, for b there are two coefficients 0.6 and 0.5

Answer 2

Step-by-step explanation:

5z + 2yz + 9yz - byz +10y +8y + 2zy - 62+ y +2zy - 32 = 5z +15zy - byz +19y - 94

15, - b