NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 1

EASY

8th CBSE

IMPORTANT

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$(x + a) (x + b) =$ $x^{2} +$ ( ) $x + a b$

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Important Questions on Algebraic Expressions and Identities

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Simplifying $(3 a + 7) (3 a + 7)$ , we get, $9 a^{2} + 42 a + k$ . Find $k$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

The product of

(- b + c) (- b + c)

is

b^{2} - k + c^{2}

. Find

k

.

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Using identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ , find the product of $(\frac{x}{4} + \frac{3 y}{4}) (\frac{x}{4} + \frac{3 y}{4})$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Using identity

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

, find the product of

(\frac{4}{3} x^{2} + 3) (\frac{4}{3} x^{2} + 3)

.

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Using identity

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

, if the product of

(0.3 x + 0.4 y) (0.3 x + 0.4 y) = a x^{2} + b x y + c y^{2}

, then find the value of

(a + b + c)

.

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 3

By using the identity

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

, we get the product of

(2 a - 3) (2 a - 3) = X a^{2} - Y a + Z

, then the value of

X - Y =

_____.

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 3

Using the identity

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

, we get

(8 x^{2} - 1) (8 x^{2} - 1) = a x^{4} - b x^{2} + c

, then

\frac{a}{b} + c =

_____.

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 3

By using the Identity

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

, we get the product of

(0.2 p - 0.5 q) (0.2 p - 0.5 q) = a p^{2} - b p q + c q^{2}

, then the value of

b + c =

_____.