Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(–2x + 5y – 3z)2 = (–2x)2 + (5y)2 + (–3z)2 + 2(–2x)(5y) + 2(5y)(–3z) + 2(–3z)(–2x)
= 4x2 + 25y2 + 9z2 – 20xy – 30yz + 12xz
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Write in the expanded form: `(x + 2y + 4z)^2`
Simplify (a + b + c)2 + (a - b + c)2
Evaluate of the following:
463+343
Find the following product:
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
If a1/3 + b1/3 + c1/3 = 0, then
Use identities to evaluate : (97)2
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Evaluate: (2 − z) (15 − z)
Expand the following:
(a + 4) (a + 7)
If `x + (1)/x = 3`; find `x^4 + (1)/x^4`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
