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`

Factorise the following expressions. (i) `a^2+8x+16` (ii) `p^2-10p+25`

1.	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`
Answer» (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` `= (5m)^2 + 2(5m)3 + (3)^2` `= (5m+ 3)^2` (iv) `49y^2 + 84yz + 36z^2` `= (7y)^2 + 2(6)(7)yz + (6z)^2` `= (7y+6z)^2` (v) `4x^2 - 8x + 4` `(2x)^2 - 2(2)(2)x + (2)^2` `= (2x+2)^2` (vi) `121b^2 - 88bc + 16c^2` `(11b)^2 - 2(11)(4)bc + (4c)^2` `= (11b - 4c)^2` (vii) `(l+m)^2 - 4lm` `=l^2 + m^2 + 2lm - 4lm` `= (l)^2 + (m)^2 - 2lm` `= (l-m)^2` (viii) `a^4 + 2a^2b^2 + b^4` `(a^2)^2 + 2(a^2)(b^2) + (b^2)^2` `(a^2 + b^2)^2` answer