Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
(x - 16)(x + 2) x = 16 or -2
In a plane with the normal (x,y) coordinates, the usual distance formula is that the distance between (x1,y1) and (x2,y2) is √((x1-x2)2+(y1-y2)2). This can be extended to n dimensions by letting the distance between (a1,a2,a3,...,an) and (b1,b2,b3,...,bn) be √((a1-b1)2+(a2-b2)2+...+(an-bn)2)
(x - 14)(x - 2)
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.
It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.
let binomial be (a + b)now (a+b)3 will be (a+b)(a+b)2 = (a+b)(a2 + 2ab+ b2) = a(a2+ 2ab+ b2) + b(a2 + 2ab+ b2) = a3+ 2a2b+ ab2 + a2b + 2ab2 + b3 = a3+ 2a2b+ ab2 + a2b + 2ab2 + b3 = a3 +3a2b + 3ab2 +b3 hope it helped... :D
Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
53
(b + 2)(b - 8)
(x - 16)(x + 2) x = 16 or -2
In a plane with the normal (x,y) coordinates, the usual distance formula is that the distance between (x1,y1) and (x2,y2) is √((x1-x2)2+(y1-y2)2). This can be extended to n dimensions by letting the distance between (a1,a2,a3,...,an) and (b1,b2,b3,...,bn) be √((a1-b1)2+(a2-b2)2+...+(an-bn)2)
= (34)2 =(30 + 4)2 let 30=a and 4=b =(a + b) 2 =a2 +2ab + b2 =(30)2 + 2(30 x 4) + (4)2 = 900 + 2(120) + 16 = 900 + 240 + 16 = 1156 By the way, I used this long method to demonstrate application, so you can use this for any number. This method is called the Binomial Expansion.
2 a2 is a monomial, not a binomial but 2 + a2 is a binomial, so is 2 - a2 .
There are 16 trials.
(x - 14)(x - 2)
b2 - 7b - 6b = -4(-4)2 - 7(-4) - 6 = 16 +28 - 6 = 38