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a)3x(x+y)/x²+ 2xy +y² x= 1/3 y=2/3
(3*1/3)(1/3+2/3) /(1/3)²+ 2*(1/3)*(2/3) +(2/3)² =
1/1/9 + 4/9 + 4/9 = 1: 1 = 1
b)a²-6²/3(a²- 2ab + b²) a= -3 b=1
(-3)²-6²/3((-3)²- 2*(-3) *1 + 1²) =
9 - 36/3(9 + 6 + 1) =
-27/3*16 = -27/48 = - 0,5625
c)(√3-26)(3+ 4b²)(√3+ 2b) b= (1/2)² - √0,8 ÷ 4/5 wszystko /2 + 1/8
w załączniku ;)
d)(√7 + 2√x)(7+ 4x)(√7 - 2√x) x=(1/2)² - √0,6 ÷ 3/5 wszystko/-3/8
x = 0,25 - 0,774596669 ÷ 0,6/-0,375
x = -0,874327781666667/-0,375
x = 2,33154075111111
x ≈ 2
(√7 + 2√2)(7+ 4*2)(√7 - 2√2) =
(7√7 + 8√7 + 14√2 + 16√2)(√7 - 2√2) =
(15√7 + 30√2)(√7 - 2√2) =
105 - 30√14 + 30√14 - 120 = -15
e)-(√10-√5)² - (√10 - 1)(√10 - √5) + √5(1√2) =
-(10 - 2√50 + 5) - (10 -√50 - √10 + √5) + √10 =
-15 + 2√50 - 10 + √50 + √10 -√5 + √10 =
3√50 +2√10 - √5 - 35
f)(√6 + √2)² + (√6 + 1)(2-√3) - √2(2√3 - 3) =
6 + 2√12 + 2 + 2√6 - √18 + 2 - √3 - 2√6 + 3√2 =
√18 + 2√12 + √3 + 3√2 + 10
g)a² + 2ab +b²/ 5(a+b) a=1/3 b= -1/2
(1/3)² + 2*(1/3)*(-1/2) + (-1/2)²/ 5((1/3)+(-1/2) =
(1/9 - 1/3 + 1/4)/ 5(2/6 - 3/6) =
(4/36 - 12/36 + 9/36 ) / -5/6 =
1 : (-5/6) = 1 * (-6/5) = -6/5