Advertisements
Advertisements
प्रश्न
If a + b = 8 and ab = 15, find a3 + b3.
योग
Advertisements
उत्तर
Here, a + b = 8, ab = 15
Using the identity,
a3 + b3 = (a + b)3 − 3ab (a + b)
= (8)3 − 3(15)(8)
= 512 − 3(120)
= 512 − 360
∴ a3 + b3 = 152
shaalaa.com
Application of Formulae
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
If a+b=5 and ab = 6, find a2 + b2
If a2 + b2= 10 and ab = 3; find : a + b
If `"a" + 1/"a"=3`, find `"a"^2+1/"a"^2`
If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`
If a + b + c = 10 and a2 + b2 + c2 = 38, find : ab + bc + ca
Find: a2 + b2 + c2, if a + b + c = 9 and ab + bc + ca = 24
If a + b = 6 and ab = 8, find: a3 + b3.
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
If 3x + 2y = 9 and xy = 3, find : 27x3 + 8y3.
If 5x – 4y = 7 and xy = 8, find : 125x3 – 64y3.
