Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.1>Q 30

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IMPORTANT

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Without actually calculating the cubes, find the values of :-
${(- 28)}^{3} + {(15)}^{3} + {(13)}^{3}$

Important Questions on Expansions

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IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.1>Q 31

Using suitable identity , find the value of :- $\frac{86 \times 86 \times 86 + 14 \times 14 \times 14}{86 \times 86 - 86 \times 14 + 14 \times 14}$

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Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 1

If

x - y = 8

and

x y = 5

, find

x^{2} + y^{2}

.

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Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 2

If

x + y = 10

and

x y = 21

, find

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

.

EASY

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Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 3

If

2 a + 3 b = 7

and

a b = 2,

find

4 a^{2} + 9 b^{2}

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Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 4

If

3 x - 4 y = 16

and

x y = 4

, find the value of

9 x^{2} + 16 y^{2}

Question Image

.

EASY

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IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 5

If

x + y = 8

and

x - y = 2

, find the value of

2 x^{2} + 2 y^{2}

.

EASY

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IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 6

If

a^{2} + b^{2} = 13

and

a b = 6

,

f i n d a + b

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IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 6

If

a^{2} + b^{2} = 13

and

a b = 6

,

f i n d (i i) a - b