Q2 Factorise the following expressions 

(VII)

10 a ^2 - 15 b^2 +20 c^2

Answers (1)

We have, 
            10a^2 = 2 \times 5 \times a \times a
             15b^2 = 3 \times 5 \times b \times b
             20c^2 = 2\times 2 \times 5 \times c \times c
\therefore      on factorization we get,
10a^2-15b^2+20c^2 = (2\times 5 \times a \times a)-(3\times 5 \times b \times b)+(2\times 2 \times 5 \times c \times c)                                         =5 (2 \times a \times a-3 \times b \times b+2\times 2 \times c \times c)
                                         =5(2a^2-3b^2+4c^2)

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