Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(m + 2n - 5p)^2`
उत्तर
We have
`(m + 2n - 5p)^2 = m^2 + (2n)^2 + (-5p)^2 + 2(m)(2n) + 2(2n)(-5p) + 2(m)(-5p)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
` = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10pm`
`∴ (m + n - 5p)^2 = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10 "pm"`
APPEARS IN
संबंधित प्रश्न
Factorise the following:
27 – 125a3 – 135a + 225a2
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
If 2x+3y = 13 and xy = 6, find the value of 8x3 + 27y3
Evaluate of the following:
1113 − 893
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
Evaluate the following without multiplying:
(103)2
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If x + y = 9, xy = 20
find: x - y
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
Simplify (2x – 5y)3 – (2x + 5y)3.
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).