Home
Class 9
MATHS
Find the following products using appro...

Find the following products using appropriate identities:`(i)\ (x+3)\ (x+3)\ \ \ \ \ \ \ \ (i i)\ (x - 3)(x+5)`

Text Solution

Verified by Experts

`(i) (x+3)(x+3) = (x+3)^2`
As, `(a+b)^2 = a^2+2ab+b^2`
` (x+3)^2=x^2+2*3*x+3^2==x^2+6x+9`

`(ii) (x-3)(x+5) = (x+(-3))+(x+5)`
As,`(x+a)(x+b) = x^2+(a+b)x +ab`
`(x+(-3))+(x+5) = x^2+(-3+5)x+(-3)(5)`
`=x^2+2x-15`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the product using appropriate identities (i) (x+5)(x+5) (ii) (x+4)(x-4) (iii) (x+5)(x+3) (iv) (x-5)(x+3)

Find the derivative of the following functions from the first principle (i) (2x - 1) (x + 2) (ii) (x - 3)/(2x + 5)

Find the following as a single complex number x+ iy = (5+i9) (-3+ i4)

Find the following products: (i) (x+2)(x+3) (ii) (x+7)(x-2) (iii) y-4)(y-3) (iv) (y-7)(y+3) (vi) (2x-3)(2x+5) (vii) (3x+4)(3x-5)

Evaluate each of the following using identities: (i) (2x-1/x)^2 (ii) (2x+y)(2x-y)

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

Use direct method to evaluate the following product : (i) (x+8)(x+3) " " (ii) (x-8)(x+2) " " (iii) (x-3)(x-5)

Find the following products: (i) 7/5x^2y(3/5x y^2+2/5x) (ii) 4/3a(a^2+b^2-3c^2)

Find the following products: (i) (y^2-4)(y^2-3) (ii) (x+4/3)(x+3/4) (iii) (3x+5)(3x+11) (iv) (2x^2-3)(2x^2+5)

Find the following products: (i) (x+4)(x+7) (ii) (x-11)(x+4) (iii) (x+7)(x-5) (iv) (x-3)(x-2)