Advertisements
Advertisements
प्रश्न
If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 +c2.
Advertisements
उत्तर
Recall the formula
`(a+b+c)^2 = a^2 +b^2 +c^2 +2(ab +bc+ca)`
Given that
`(a+b+c) = 9,ab + bc + ca = 40`,
Then we have
`(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)`
` ( 9)^2 = a^2 + b^2 + c^2 + 2.( 40) `
`a^2 ++ b^2 + c^2 + 80 = 81`
`a^2 + b^2 + c^2 = 81 - 80
`a^2 + b^2 +c^2 =` 1
APPEARS IN
संबंधित प्रश्न
Factorize: a2 + b2 + 2 (ab + bc + ca)
Factorize the following expressions:
54x6y + 2x3y4
Factorize the following expressions:
1029 – 3x3
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is
Write the number of the term of the following polynomial.
23 + a x b ÷ 2
Multiply: (6x - 2y)(3x - y)
Divide: - 50 + 40p by 10p
Express the following as an algebraic expression:
The sum of x and y minus m.
Express the following properties with variables x, y and z.
Commutative property of multiplication
