Home
Class 8
MATHS
Using the Identity find (i) (2x+3y)^2 ...

Using the Identity find
(i) `(2x+3y)^2` (ii) `103^2`

Text Solution

Verified by Experts

(i) `(2x+3y)^2`
using identity, `(a+b)^2=a^2+b^2+2ab`
`=(2x)^2+(3y)^2+2(2x)(3y)`
`=4x^2+9y^2+12xy`
(ii) `103^2`
We can write, `103=100+3`
`(100+3)^2`
`=(100)^2+(3)^2+2(100)(3)`
...
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.1|4 Videos

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.5|8 Videos

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.3|5 Videos

  • COMPARING QUANTITIES

    NCERT|Exercise EXERCISE 8.1|6 Videos

Similar Questions

Explore conceptually related problems

Using Identity find (i) (4p-3q)^(2) (ii) (49)^(2)

.Find the following products using suitable identity. (i) "(2x-3)^(2)," (ii) "(3a-2b)^(2)]]

Expand each of the following, using suitable identities: (i) (x+2y+4z)^2 (ii) (2x-y+z)^2 (iii) (-2x+3y+2z)^2 (iv) (3a-7b-c)^2 (v) (-2x+5y-3z)^2 (vi) [1/4a-1/2b+1]^2

Expand each of the following, using suitable identities : (i) (x+2y+4z)^(2) (ii) (2x-y+z)^(2) (iii) (-2x+3y+2z)^(2) (iv) (3a-7b-c)^(2) (v) (-2x+5y-3z)^(2) (vi) [(1)/(4)a-(1)/(2)b+1]^(2)

If x=1 and y=-2; by using the identity find the following : (i) (4y^2-9x^2)(16y^4+36x^2y^2+81x^4) (ii) (x+2y)(x^2-2xy+4y^2)

Factorise the using the identity a ^(2) -b ^(2) = (a +b) (a-b). 9x ^(2) - ( 3y + z) ^(2)

Factorise the using the identity a ^(2) -b ^(2) = (a +b) (a-b). x ^(4) - y ^(4) + x ^(2) - y ^(2)

Evaluate each of the following by using Identities - (i) 103 x 97 (ii) 103 x 103 (iii) 97 x 97 (iv) 105 + 106

Expand using suitable identity (2x-3y+z)^(2) .

Using Identity find (i)((3)/(2)(m)+(2)/(3)(n))((3)/(2)(m)-(2)/(3)(n))(ii)983^(2)-17^(2)(iii)194xx206