Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

EASY

9th CBSE

IMPORTANT

Earn 100

If $a + b + c = 0$ , then $a^{3} + b^{3} + c^{3} = 3 a b c$ .

88.89% studentsanswered this correctly

Important Questions on Algebra

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

b = 1

, then

a^{3} + b^{3} = (a - 1) (a^{2} + a + 2)

.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

a + b = 0

, then

a^{3} + b^{3} = a^{2} - a b + b^{2}

.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

a - b = 1

, then

a^{3} - b^{3} = a^{2} + a b + b^{2}

.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

a b + b c + c a = 0

, then

a^{3} + b^{3} + c^{3} = (a + b + c) (a^{2} + b^{2} + c^{2}) + 3 a b c

.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

x + y = 5

, then the value of

x^{3} + y^{3} + 15 x y

is

125

.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

The factorisation of

x^{3} + 1

is

(x + 1) (x^{2} + 1)

.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

a + b = - 1

, then the value of

a^{3} + b^{3} - 3 a b

is

(- 1)

.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 2 - Algebra>Enrichment Exercise>Q B

If

x + y + 2 = 0

, then

x^{3} + y^{3} + 8

equals zero.