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Factorise the following expressions. (i)...

Factorise the following expressions. (i) `a^2+8x+16` (ii) `p^2-10p+25` (iii) `25m^2+30m+9` (iv) `49y^2+84yz+36z^2` (v) `4x^2-8x+4` (vi) `121b^2-88bc+16c^2` (vii) `(l+m)^2-4lm` (Hint : Expand `(l+m)^2}` first (viii) `a^4+2a^2 b^2 +b^4`

Text Solution

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(i)`a^2 + 8a + 16`
`a^2 + 2(4a) + (4)^2`
`= (a+4)^2`
(ii) `p^2 -10p +25`
`p^2 - 5p-5p +25`
`= p(p-5)-5(p-5)`
`= (p-5)^2`
(iii)` 25m^2 + 30m + 9`
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