Advertisements
Advertisements
प्रश्न
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
Advertisements
उत्तर
The given expression is (1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
We shall use the identity `(a + b)(a - b) = a^2 - b^2`
Here `a =1.5x^2`
`b = 0.3y^2`
By applying identity we get
`(1.5x^2 xx 1.5x^2) - (1.5x^2 + 0.3y^2) = (1.5x^2)^2 - (0.3y^2)^2`
`= (1.5x^2 xx 1.5x^2) - (0.3y^2 xx 0.3y^2)`
`= 2.25x^2 - 0.09y^4`
Hence the vlue of `(1.5x^2 - 0.3y^2)(1.5x^2 + 0.3y^2) " is " 2.25x^4 - 0.09y^4`
APPEARS IN
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Write the expanded form:
`(-3x + y + z)^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
Simplify (2x + p - c)2 - (2x - p + c)2
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
If a + b = 10 and ab = 21, find the value of a3 + b3
If a + b = 6 and ab = 20, find the value of a3 − b3
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
Use identities to evaluate : (97)2
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
Find the squares of the following:
9m - 2n
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
