ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 11

EASY

8th ICSE

IMPORTANT

Earn 100

Using suitable identities, evaluate the following:

$87^{2} - 13^{2}$

Important Questions on Algebraic Expressions and Identities

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 11

Using suitable identities, evaluate the following:

$105 \times 107$

EASY

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 12

Prove the following:

$(a + b)^{2} = (a - b)^{2} + 4 a b$

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 12

Prove the following:

$(2 a + 3 b)^{2} + (2 a - 3 b)^{2} = 8 a^{2} + 18 b^{2}$

MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 13

If

x + \frac{1}{x} = 5

, evaluate

x^{2} + \frac{1}{x^{2}}

HARD

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 13

If

x + \frac{1}{x} = 5

, evaluate

x^{4} + \frac{1}{x^{4}}

HARD

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 10 - Algebraic Expressions and Identities>Check Your Progress>Q 14

If

a + b = 5

and

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

, find

a b

.