Question

Даю десять баллов!!!Ребят помогите !!!! Разложите многочлен на множители задание 1 а)3m-3mn б)8x в кубе - 12х в шестой степени в)49 целых - в числителе С в квадрате , в знаменателе 9 г)64-16у+ув квадрате задание 2 представьте в виде произведения выражение , и найдите его числовое значение при х = 0,2 , у=12,3 у(1,7-х)-4,3(1,7-х) задание 3 а)18а в квадрате+12аb+2b в квадрате б)3а(b+4)+2c(-b-4) в)x в квадрате+2xy-4x-8y задание 4 х в квадрате (х+2)-(х+2)(х в квадрате -х+3)=0 решите все , с решением !!!! умоляююю!!!!!!!!!!!!!!

Answer 1

3m-3mn=3m(1-n)
8x³-12$x^{6}$=4x³(2-3x³)
49-c²/9=(7-c/3)(7+c/3)
64-16y+y²=(y-8)²

y(1.7-x)-4.3(1.7-x)=(y-4.3)(1.7-x)=(12.3-4.3)(1.7-0.2)=8*1.5=12

18a²+12ab+2b²=2(9a²+6ab+b²)=2(3a+b)²
3a(b+4)+2c(-b-4)=3a(b+4)-2c(b+4)=(3a-2c)(b+4)
x²+2xy-4x-8y=x(x+y)-4(x+2y)=(x-4)(x+2y)

x²(x+2)-(x+2)(x²-x+3)=0
(x+2)(x-3)=0
x=-2    x=3

Answer 2

Factoring Polynomials:

a) To factor the polynomial 3m - 3mn, we can factor out the common factor of 3: 3m - 3mn = 3(m - n) [[1]]

b) To factor the polynomial 8x^3 - 12x^6, we can factor out the common factor of 4x^3: 8x^3 - 12x^6 = 4x^3(2 - 3x^3) [[2]]

c) To factor the expression 49a^2 - c^2/9, we can use the difference of squares formula: 49a^2 - c^2/9 = (7a - c/3)(7a + c/3) [[3]]

d) To factor the polynomial 64 - 16u + u^2v^2, we can rewrite it as a quadratic trinomial: u^2v^2 - 16u + 64 = (uv - 8)^2 [[4]]

Evaluating Expressions:

To evaluate the given expression u(1.7 - x) - 4.3(1.7 - x) with x = 0.2 and u = 12.3, we substitute the values into the expression: u(1.7 - x) - 4.3(1.7 - x) = 12.3(1.7 - 0.2) - 4.3(1.7 - 0.2) = 12.3(1.5) - 4.3(1.5) = 18.45 - 6.45 = 12 [[5]]

Simplifying Expressions:

a) To simplify the expression 18a^2 + 12ab + 2b^2, we can factor out the common factor of 2: 18a^2 + 12ab + 2b^2 = 2(9a^2 + 6ab + b^2) [[6]]

b) To simplify the expression 3a(b + 4) + 2c(-b - 4), we can distribute the coefficients: 3a(b + 4) + 2c(-b - 4) = 3ab + 12a - 2bc - 8c [[7]]

c) To simplify the expression x^2 + 2xy - 4x - 8y, we can group the terms: x^2 + 2xy - 4x - 8y = (x^2 - 4x) + (2xy - 8y) = x(x - 4) + 2y(x - 4) = (x + 2y)(x - 4) [[8]]

Solving Equations:

To solve the equation x^2(x + 2) - (x + 2)(x^2 - x + 3) = 0, we can factor out the common factor of (x + 2): (x + 2)(x^2 - x + 3) - (x + 2)(x^2 - x + 3) = 0 (x + 2)(x^2 - x + 3 - x^2 + x - 3) = 0 (x + 2)(0) = 0 x + 2 = 0 x = -2 [[9]]

Please let me know if there's anything else I can help you with!