Advertisements
Advertisements
प्रश्न
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Advertisements
उत्तर
In the given problem, we have to find the value of (3x + 2y) (9x2 − 6xy + 4y2)
Given (3x + 2y) (9x2 − 6xy + 4y2)
We shall use the identity `a^3 + b^3 = (a+b)(a^2 + b^2 - ab)`
We can rearrange the `(3x + 2y)(9x^3 - 6xy + 4y^2)`as
` = (3x + 2y)[(3x)^2 - (3x)(2y)+(2y)^2]`
` = (3x)^2 + (2y)^3`
` = (3x) xx (3x) xx (3x) + (2y) xx 2y xx (2y)`
` = 27x^3 + 8y^3`
Hence the Product value of `(3x+ 2y) (9x^2 - 6xy + 4y^2)`is `27x^3 + 8y^3`.
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Evaluate the following using suitable identity:
(102)3
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Write in the expanded form:
`(a + 2b + c)^2`
Write in the expanded form:
`(2 + x - 2y)^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
If 2x+3y = 13 and xy = 6, find the value of 8x3 + 27y3
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the following product:
Evaluate:
253 − 753 + 503
If a − b = −8 and ab = −12, then a3 − b3 =
Use identities to evaluate : (998)2
Evalute : `( 7/8x + 4/5y)^2`
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate: 203 × 197
Expand the following:
(x - 5) (x - 4)
Find the squares of the following:
3p - 4q2
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
