1.

Use suitable identities to find the following products:(i) `(x+4)(x+10)` (ii) `(x+8)(x-10)`(iii) `(3x+4)(3x-5)`(iv) `(y^2+3/2)(y^2-3/2)`(v) `(3-2x)(3+2x)`

Answer» (i) `(x+4)(x+10)`
using identity `(x+a)(x+b) = x^2 + (a+b)x + ab`
`x^2 + (4+10)x + 4(10)`
`x^2 + 14x + 40 `
(ii) `(x+8)(x-+(-10))`
`x^2 + (8-10)x + 8(-10)`
`= x^2 -2x -80`
(iii) `(3x + 4)(3x-5)`
`(3x)^2 + (4-5)(3x) + 4*(-5)`
`= 9x^2 - 3x - 20`
(iv) `(y^2 + 3/2)(y^2 - 3/2)`
`= (y^2)^2 - (3/2)^2 = y^4 - 9/4`
(v) `(3-2x)(3+2x)`
`(3)^2 - (2x)^2`
`9- 2^2x^2`
`9-4x^2`
answer


Discussion

No Comment Found

Related InterviewSolutions