I don't think you wanted the word "radical" in your question. Aren't you working with: C2 = A2 + B2 ? Or maybe: C = sqrt ( A2 + B2 ) ? In either case, A = sqrt ( C2 - B2 ). If your question is really the way you typed it, then the answer is more complicated.
The standard equation for an ellipse centered at the origin is [x2/a2] + [y2/b2] = 1 We also have the relationship, b2 = a2 - c2 where c is the distance of the foci from the centre and a & b are the half lengths of the major and minor axes respectively. When the length of the minor axis equals the distance between the two foci then 2b = 2c : b = c. Thus, a2 =b2 + c2 = 2b2 One of the formulae for the eccentricity of an ellipse is, e = √[(a2 - b2)/a2] Thus, e = √[(2b2 - b2) / 2b2] = √½ = 1/√2.
There are 3 main rules for expansion of algebraic expressions. They are as follows: 1) a2 _ b2 = (a-b) (a+b) 2) (a+b)2 = a2 + 2ab +b2 3) (a-b)2 = a2 - 2ab +b2
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
(a3 + b3)/(a + b) = (a + b)*(a2 - ab + b2)/(a + b) = (a2 - ab + b2)
No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2
(a+b)(a+b)Also equal to a2+2ab+b2
a2-b2 = (a-b)(a+b)
(A+B)2 = (A+B).(A+B) =A2+AB+BA+B2 =A2+2AB+ B2 So the Answer is A + B the whole square is equal to A square plus 2AB plus B square. Avinash.
I don't think you wanted the word "radical" in your question. Aren't you working with: C2 = A2 + B2 ? Or maybe: C = sqrt ( A2 + B2 ) ? In either case, A = sqrt ( C2 - B2 ). If your question is really the way you typed it, then the answer is more complicated.
The standard equation for an ellipse centered at the origin is [x2/a2] + [y2/b2] = 1 We also have the relationship, b2 = a2 - c2 where c is the distance of the foci from the centre and a & b are the half lengths of the major and minor axes respectively. When the length of the minor axis equals the distance between the two foci then 2b = 2c : b = c. Thus, a2 =b2 + c2 = 2b2 One of the formulae for the eccentricity of an ellipse is, e = √[(a2 - b2)/a2] Thus, e = √[(2b2 - b2) / 2b2] = √½ = 1/√2.
C2=A2+B2 Therefore to find B2: B2=C2-A2
There are 3 main rules for expansion of algebraic expressions. They are as follows: 1) a2 _ b2 = (a-b) (a+b) 2) (a+b)2 = a2 + 2ab +b2 3) (a-b)2 = a2 - 2ab +b2
(a + b)(a - b)
The square of the hypotenuse of a right triangle ("h") is equal to the sum of the squares of the other two sides of the right triangle ("a" and "b"): h2 = a2 + b2. hypotenuse is equal to square root of a2+b2.
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2
a3 + b3 = (a + b)*(a2 - ab + b2)anda3 - b3 = (a - b)*(a2 + ab + b2)