Q : 4            Simplify. 

                    (v) (2.5p-1.5q)^2-(1.5p-2.5q)^2

Answers (1)

we use 
        a^{2}- b^{2} = (a-b)(a+b)
 1 )   In this a = (2.5p- 1.5q) and b = (1.5p - 2.5q)
                                     (2.5p- 1.5q)^{2}- (1.5p- 2.5q)^{2} = ( (2.5p- 1.5q)- (1.5p- 2.5q))( (2.5p- 1.5q)+ (1.5p- 2.5q)) 
                                                                            = ( 2.5p- 1.5q- 1.5p + 2.5q)(2.5p- 1.5q+ 1.5p- 2.5q)
                                                                            = 4(p + q ) (p - q)
                                                                             = 4(p^{2} - q^{2})

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