Trying to find the right answer to this..

9.7 x 9.8 = (10 - 0.3) (10 - 0.2) = (10) 2 + [(-0.3) + (-0.2)]10 + [(-0.30 x (-0.2)] = 100 + [ - 0.5] x 10 + 0.06 = 100 - 5 + 0.06 = 95.06

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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

177 Views

142.

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

103 x 104

207 Views

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

9.7 x 9.8 = (10 - 0.3) (10 - 0.2)
            = (10)²+ [(-0.3) + (-0.2)]10 + [(-0.30 x (-0.2)]
            = 100 + [ - 0.5] x 10 + 0.06
            = 100 - 5 + 0.06
            = 95.06

217 Views

146.

Using suitable identity, find:

(i) (2x + 3y)² (ii) (103)²

226 Views

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