Home
Class 8
MATHS
Use a suitable identity to get each of t...

Use a suitable identity to get each of the following products. (i) `(x+3)(x+3)` (ii) `(2y+5)(2y+5)` (iii) `(2a-7)(2a-7)` (iv) `((3a)-1/2)((3a)-1/2)` (v) `(1.1m-0.4)(1.1m+04)` (vi) `(a^2+b^2)(-a^2+b^2)` (viI) `(6x-7)(6x+7)` (vii) `(-a+c)(-a+c)` (viii) `(x/2+(3y)/4)(x/2+((3y)/4)` (ix) `(7a-9b)(7a-9b)`

Text Solution

Verified by Experts

The correct Answer is:
1)`(x+3)(x+3)=x^2+9+6x`
2)`(2y+5)(2y+5)=4y^2+25+20y`
3)`(2a-7)(2a-7)=4a^2+49-28a`
4)`(3a-1/2)(3a-1/2)=9a^2+1/4-3a`
5)`(1.1m-0.4)(1.1m+0.4)=1.21m^2-0.16`
6)`(b^2+a^2)(b^2-a^2)=b^4-a^4`
7)`(6x-7)(6x+7)=36x^2-49`
8)`(x/2+(3y)/4)^2=x^2/4+(9y^2)/16+(3xy)/4`
9)`(7a-9b)^2=49a^2+81b^2-126ab`.

1)`(x+3)(x+3)=x^2+9+6x`
2)`(2y+5)(2y+5)=4y^2+25+20y`
3)`(2a-7)(2a-7)=4a^2+49-28a`
4)`(3a-1/2)(3a-1/2)=9a^2+1/4-3a`
5)`(1.1m-0.4)(1.1m+0.4)=1.21m^2-0.16`
6)`(b^2+a^2)(b^2-a^2)=b^4-a^4`
7)`(6x-7)(6x+7)=36x^2-49`
8)`(x/2+(3y)/4)^2=x^2/4+(9y^2)/16+(3xy)/4`
...
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.4|3 Videos
  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.3|5 Videos
  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    NCERT|Exercise EXERCISE 9.1|4 Videos
  • COMPARING QUANTITIES

    NCERT|Exercise EXERCISE 8.1|6 Videos

Similar Questions

Explore conceptually related problems

Find each of the following products: (i) (x + 6) (x + 6) (ii) (4x + 5y) (4x + 5y) (iii) (7a + 9b) (7a + 9b) (iv) ((2)/(3) x + (4)/(5)y) ((2)/(3) x + (4)/(5) y) (v) (x^(2) + 7)(x^(2) + 7) (vi) ((5)/(6) a^(2) + 2) ((5)/(6) a^(2) + 2)

Find the product.(i) (5-2x)(3+x) (ii) (x+7y)(7x-y)( iii) (a^(2)+b)(a+b^(2))( iv) (p^(2)-q^(2))(2p+q)

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

Use the identity (x+a)(x+b)=x^2+(a+b)x+ab to find the following products. (i) (x+3)(x+7) (ii) (4x+5)(4x+1) (iii) (4x+5)(4x+1) (iv) (4x+5)(4x-1) (v) (2x+5y)(2x+3y) (vi) (2a^2+9)(2a^2+5) (vii) (xyz-4)(xyz-2)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

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)

Write down the following in the product form: x^(3)y^(4)( ii) 6x^(7)y( iii) 9xy^(2)z^(2)( iv ) 10a^(3)b^(3)c^(3)

Write down the fractional number for each of the following: (i) (2)/(3) (ii) (4)/(9) (iii) (2)/(5) (iv) (7)/(10) (v) (1)/(3) (vi) (3)/(4) (vii) (3)/(8) (viii) (9)/(14) (ix) (5)/(11) (x) (6)/(15)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Expand: (i) (8a + 3b)^(2) (ii) (7x + 2y)^(2) (iii) (5x + 11)^(2) (iv) ((a)/(2) + (2)/(a))^(2) (v) ((3x)/(4) + (2y)/(9))^(2) (vi) (9x - 10)^(2) (vii) (x^(2) y - yz^(2))^(2) (viii) ((x)/(y) - (y)/(x))^(2) (ix) (3m - (4)/(5) n)^(2)