Pawan Prajapati
Last Activity: 4 Years ago
(i) {:c + 4)(.:c + 10) = x2 + (4 + 10>.t + (4 x 10)
[Using identity: (:r + a)(:r + b) = x2 + (a + b)x + ab]
= x2 + 14% + 40.
37
(ii (% + 8)(% - 10) = x2 + (8 - O)x + 8(- 10)
(Using identity: (% + a)(x + b) = x2 + (a + b')x + ab]
= x2 - 2x - 80.
(iii (3% +4)(& -5) = (3%>2 + (4 - 5X&> + 4 x < 5)
[Using identity: (.x + a)(.x + b) = x2 + (a + b")% + ab]
= 9x2 - 3% - 20.
(iv) (y2 +i)(y2 -i) = < >2 - (iJ
(Using identity:(.x + a)(x - a) = x2 - a2J
= y - 4 •
(v) (3 - 2x)(3 + 2x) = (3)2 - (2x)2
[Using identity: (x + a)(.r - a) = x2 - a2J
= 9 - 4x2.