Which of the following is an identity?

1

(a)

(b+c)=b²+c²

(b)

b²-c²=(b+c)²-4bc

(c)

b²-c² =(b-c)²

(d)

(b+ c)² =b² + 2bc+c²

Which is the like term as 36 abc²?

1

(a)

\(2\times18\times a\times a \times b \times c \times\)

(b)

\(3\times13\times a \times b \times c \times c \times c\)

(c)

\(3 \times17\times a\times c \times b \times c\)

(d)

\(4 \times 5 \times b \times c \times c \times a \times a\)

a (b + c) = ab + ac is

1

(a)

commutative property

(b)

closure property

(c)

distributive property

(d)

associative property

Which of the following is a binomial?

1

(a)

13xb+b

(b)

6b²+7a+2c

(c)

45(b²+ a)

(d)

13ax3bx5c

Product of the monomials, -15p, -13q², pq is

1

(a)

-165p²q³

(b)

195p²q³

(c)

195p³q²

(d)

-195p³q²

(35)² - (30)² = (35 + 30)x______________=________

1

(a)

(35)² - (30)² = (35 + 30)(35 - 30)=65x5=325

The product of two polynomials is a_______________

1

(a)

polynomial

The number of terms in the expression 3a²+5abxc is___________

1

(a)

\(\because\) 3a² and 5abc are two terms

The product of two terms with unlike signs is a______________term

1

(a)

(-a)\(\times \)a²=-a3 and (-ab)\(\times \)(b²)=-ab³​​​​​​​​​​​​​​

On subtracting -3a²b² from a²b², we get_______

1

(a)

\(\because\) a²b²-(-3a²b²)=a²b²+3a²b²=4a²b²

Using (x + a) (x + b) = x² + (a + b)x + ab; find 5.1 x 5.2

2

(a)

Using (x + a) (x + b) = x² + (a + b)x + ab; find 103\(\times\)98

2

(a)

If x+ y= 5and x - y = 3, then find the value of xy.

2

(a)

If x² + y² =25 and xy = 8, then find the value of x-y

2

(a)

If x² + y² =25 and xy = 8, then find the value of x+y

2

(a)

Using suitable identity, evaluate the following:21²-11²

2

(a)

Identify the coefficient of each term in the expression x²y² - 10x²y+ 5xy² - 20.

3

(a)

Classify the following polynomials as monomials, binomials and trinomials.
-z+ 5, x+ y+ z, y+ z+ 100, ab-ac, 17

3

(a)

Add 2x (z- x- y) and 2y (z- y- x).

3

(a)

Subtract 3l (l- 4m + 5n) from 41 (10n- 3m + 21)

3

(a)

Using suitable identities, solve the following:
(a) (110)² (b) (89)² (c) (110)²-(89)²

3

(a)

Show that a² + 3a+ 2= 132 is not true for a=-5 and for a= 0.

3

(a)

Write down the like terms in the given polynomial \(2c{ a }^{ 2 }+\frac { 1 }{ 2 } b{ c }^{ 2 }a+\frac { 2 }{ 3 } bc{ a }^{ 2 }+3{ a }^{ 2 }bc\)

5

(a)

Classify the following as monomials, binomials and trinomials \(2{ a }^{ 2 }cb+\frac { 1 }{ 2 } cb{ a }^{ 2 },b+1,{ a }^{ 2 }b+{ b }^{ 2 }c+{ c }^{ 2 }a\)

5

(a)