Advertisements
Advertisements
प्रश्न
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Advertisements
उत्तर
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
= (–5x)2 + (4y)2 + (2z)2 + 2(–5x)(4y) + 2(4y)(2z) + 2(2z)(–5x) ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
= (–5x + 4y + 2z)2
= (–5x + 4y + 2z)(–5x + 4y + 2z)
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
103 × 107
Factorise the following using appropriate identity:
`x^2 - y^2/100`
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Evaluate the following using identities:
(2x + y) (2x − y)
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Write in the expanded form: `(x/y + y/z + z/x)^2`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
Evaluate of the following:
(9.9)3
Evaluate of the following:
463+343
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Expand the following:
`(2"a" + 1/(2"a"))^2`
Using suitable identity, evaluate the following:
9992
Expand the following:
`(1/x + y/3)^3`
