Home
Class 9
MATHS
Evaluate : (i) (a+6b)^(2) " " (ii) (3...

Evaluate : `(i) (a+6b)^(2) " " (ii) (3x-4y)^(2) " " (iii) (2a-b+c)^(2)`

Text Solution

Verified by Experts

(i) `(a+6b)^(2)=a^(2)+2xxaxx6b+(6b)^(2)=a^(2)+12ab+36b^(2)`
`(ii) (3x-4y)^(2)=(3x)^(2)-2xx3x xx4y+(4y)^(2)=9x^(2)-24xy+16y^(2)`
`(iii) " We know that " (x+y+z)^(2)=x^(2)+y^(2)+z^(2)+2xy+2yz+2zx`
Now, `(2a-b+c)^(2)=(2a)^(2)+(-b)^(2)+(c )^(2)+2{(2a)(-b)xxc+cxx(2a)}`
`=4a^(2)+b^(2)+c^(2)-4ab-2bc+4ac`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|18 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Exercise 2a|8 Videos

  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|10 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Expand : (i) (a+b-c)^(2) " " (ii) (a-2b-5c)^(2) " " (iii) (3a-2b-5c)^(2) " " (iv) (2x+(1)/(x)+1)^(2) .

Expand : (i) (2x+3y)^(3) " " (ii) (5y-3x)^(3) " " (iii) (2a+3b)^(3) .

Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii) (-x+2y-3z)^(2)

Differentiate : (i) (ax + b)^(m) , (ii) (3x+5)^(6) , (iii) sqrt(ax^(2) + 2bx + c)

Find the product : (i) (x+3)(x^(2)-3x+9) " " (ii) (7+5b)(49-35b+25b^(2)) (iii) (5a+(1)/(2)) (25a^(2)-(5a)/(2)+(1)/(4)) " " (iv) (a+b-2)[a^(2)+b^(2)+4(a+b)+4] .

Expand (i) (2a-5b-7c)^2 (ii) ( -3a+4b-5c)^2 (iii) ((1)/(2)a-(1)/(4)b+2)^2

Find each of the following products: (i) (4a + 5b) xx (5a - 6b) (ii) (6x^(2) - x + 8) xx (x^(2) -3)

If a, b, c are in A.P., then prove that : (i) ab+bc=2b^(2) (ii) (a-c)^(2)=4(b^(2)-ac) (iii) a^(2)+c^(2)+4ca=2(ab+bc+ca).

Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (iii) (4-(1)/(3x))^(2)

Find each of the following products: (i) (4x - 7y) (4x - 7y) (ii) (3x^(2) - 4y^(2)) (3x^(2) - 4y^(2))