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Algebraic Expressions and Identities

Short Answer Type

141.

Using a² – b² = (a + b)(a – b), find:

(12.1)²- (7.9)²

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142.

Using (x + a) (x + b) = x² + (a + b)x + ab, find:

103 x 104

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143.

Using (x + a) (x + b) = x² + (a + b)x + ab, find:

5.1 x 5.2

114 Views

144.

Using (x + a) (x + b) = x² + (a + b)x + ab, find:

103 x 98

141 Views

145.

Using (x + a) (x + b) = x² + (a + b)x + ab, find:

9.7 x 9.8

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146.

Using suitable identity, find:

(i) (2x + 3y)² (ii) (103)²

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147.

Using suitable identity (x + a) (x + b) = x²+ (a + b)x + ab find the following:

(i) (4p -3q)² (ii) (4.9)²

97 Views

148.

Using suitable identity^,find:

(i)
$space space space space space space space space space space space space space space space space space space space space space open parentheses 3 over 2 straight m space plus 2 over 3 straight n close parentheses open parentheses 3 over 2 straight m minus space 2 over 3 straight n close parentheses$

(ii) 983²- 17²

(iii) 194 x 206

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149.

Using suitable identity, (x +a) (x +b) = x²+ (a + b)x + ab find the following

(i) 501 x 502 (ii) 95 x 103

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150.
Add: a + b + ab ; b – c + be and c + a + ac

We have :

                  a    +    b   +    ab
                       +    b                - c   +   bc
a + c    + ac
   _____________________________________________
   2a + 2b + ab + bc    + ac
____________________________________________

Thus, the sum of the gien expressions is 2a + 2b + ab + bc + ca.

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Short Answer Type

150. Add: a + b + ab ; b – c + be and c + a + ac

150.
Add: a + b + ab ; b – c + be and c + a + ac