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Evaluate the Following Using Identities: (1.5x2 − 0.3y2) (1.5x2 + 0.3y2) - CBSE Class 9 - Mathematics

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Question

Evaluate the following using identities:

(1.5x− 0.3y2) (1.5x+ 0.3y2)

Solution

 The given expression is (1.5x− 0.3y2) (1.5x+ 0.3y2)

We shall use the identity `(a + b)(a - b) = a^2 - b^2`

Here `a =1.5x^2`

`b = 0.3y^2`

By applying identity we get 

`(1.5x^2  xx 1.5x^2) - (1.5x^2 + 0.3y^2) = (1.5x^2)^2 - (0.3y^2)^2`

`= (1.5x^2 xx 1.5x^2) - (0.3y^2 xx 0.3y^2)`

`= 2.25x^2 - 0.09y^4`

Hence the vlue of `(1.5x^2 - 0.3y^2)(1.5x^2 + 0.3y^2) " is " 2.25x^4 - 0.09y^4`

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Solution Evaluate the Following Using Identities: (1.5x2 − 0.3y2) (1.5x2 + 0.3y2) Concept: Algebraic Identities.
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