Home
Class 9
MATHS
Find the product (2a-3b-2c)(4a^(2)+9b^(2...

Find the product `(2a-3b-2c)(4a^(2)+9b^(2)+4c^(2)+6ab-6bc+4ca)`.

Text Solution

AI Generated Solution

To find the product \((2a - 3b - 2c)(4a^2 + 9b^2 + 4c^2 + 6ab - 6bc + 4ca)\), we can use the identity for the expansion of a cubic polynomial. 1. **Identify the terms**: We can see that the expression can be related to the identity: \[ a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - ac - bc) \] Here, we can set: ...
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

Find the product (2a + 3b - 4c) (4a ^(2) + 9b ^(2) + 16 c ^(2) - 6 ab + 12 bc +8 ca)

Find the product : (i) (a+2b+4c)(a^(2)+4b^(2)+16c^(2)-2ab-8bc-4ca) (ii) (3x-5y-4)(9x^(2)+25y^(2)+15xy+12x-20y+16) (iii) (2-3b-7c)(4+9b^(2)+49c^(2)+6b-21bc+14c) (iv) (sqrt(2)a+2sqrt(2)b+c)(2a^(2)+8b^(2)+c^(2)-4ab-2sqrt(2)bc-sqrt(2)ac)

Find the product of (a+b+2c)(a^2+b^2+4c^2 -ab-2bc-2ca) . (a+b+2c)(a^2+b^2+4c^2 -ab-2bc-2ca) का गुणनफल ज्ञात करें ।

Find the products (2a^(2)b) xx(-5ab^(2)c) xx(-6bc^(2))

Find the square root of 4a^(2)+b^(2)+c^(2)+4ab-2bc-4a

For any real a, b, c the expression 2a^(2) + 11b^(2) + 4c^(2) - 8ab - 6bc - 2c + 41 is minimum then

Find the square root of : 4 a ^(2) + 9b ^(2) + c ^(2) - 12 ab + 6 bc - 4 ac

If a+b+c=5, a^(2)+b^(2)+c^(2)=6 then ab+bc+ca=?

If a+b+c=6, a^(2) +b^(2)+ c^(2)=16 , find ab+bc +ca = ?