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

Find the product: `(2a-3b-2c)(4\ a^2+\ 9\ b^2+\ 4\ c^2+\ 6\ a b-6\ b c+4c a)`

Text Solution

Verified by Experts

Given:
`(2a-3b-2c)(4\ a^2+\ 9\ b^2+\ 4\ c^2+\ 6\ a b-6\ b c+4c a)`
i.e,
`(2a-3b-2c) [(2a)^2+(-3b)^2+(-2c)^2–2a xx(-3b)-(-3b)xx(-2c)+(-2c)xx2a]=(2a)^3+(-3b)^3+(-2c)^3–3xx2a xx(-3b)xx(-2c)`
`=8a^3-27b^3-8c^3-36abc`
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

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

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)

Add: 3a - 4b + 4c, 2a + 3b - 8c, a - 6b + c

Simplify: 2a - [3b - {a - (2c - 3b) + 4c - 3 (a - b - 2c)}]

Subtract : 2a - 5b + 2c - 9" from "3a - 4b - c + 6

Add: 6a + 8b - 5c, 2b + c - 4a and a - 3b - 2c.

Subtract 4a^(2) + 5b^(2) - 6c^(2) + 8 from 2a^(2) -3b^(2) - 4c^(2) - 5 .