Question

Представьте в виде многочлена плизз.... 1) 7х(4у-х)+4х(х-7у) 2) 4а(7х-1)-7(4ах+1) 3) а( а+в)+в(а-в) 4) 5а(6а+3в)-6а(5в-2а) 5) 8м(м+н)-3н(2м-4н) плиииииз помогите.:-)

Answer 1

1) 28 xy-7x квадрат + 4x квадрат - 28 xy = -3x квадрат
2) 28ax - 4a - 28ax - 7 = -4a-7
3) a кватрат + ab + ab - b квадрат = a квадрат + 2ab - b квадрат = a квадрат - b квадрат
4) 30a квадрат + 15 ab - 30ab+12a квадрат = 42а квадрат - 15 ab
5) 8m квадрат + 8 mn - 5 nm + 12n квадрат = 8m квадрат + 3 mn + 12 n квадрат

Answer 2

Polynomial Representation

To represent the given expressions as polynomials, let's simplify each expression step by step:

1) Expression: 7x(4y-x) + 4x(x-7y)

To simplify this expression, we can distribute the terms inside the parentheses:

= 7x * 4y - 7x * x + 4x * x - 4x * 7y = 28xy - 7x^2 + 4x^2 - 28xy = -3x^2

2) Expression: 4a(7x-1) - 7(4ax+1)

Again, let's distribute the terms inside the parentheses:

= 4a * 7x - 4a * 1 - 7 * 4ax - 7 * 1 = 28ax - 4a - 28ax - 7 = -4a - 7

3) Expression: a(a + b) + b(a - b)

Let's distribute the terms inside the parentheses:

= a * a + a * b + b * a - b * b = a^2 + ab + ab - b^2 = a^2 + 2ab - b^2

4) Expression: 5a(6a + 3b) - 6a(5b - 2a)

Distribute the terms inside the parentheses:

= 5a * 6a + 5a * 3b - 6a * 5b + 6a * 2a = 30a^2 + 15ab - 30ab + 12a^2 = 42a^2 - 15ab

5) Expression: 8m(m + n) - 3n(2m - 4n)

Distribute the terms inside the parentheses:

= 8m * m + 8m * n - 3n * 2m + 3n * 4n = 8m^2 + 8mn - 6mn + 12n^2 = 8m^2 + 2mn + 12n^2

Therefore, the polynomial representations of the given expressions are:

1) -3x^2 2) -4a - 7 3) a^2 + 2ab - b^2 4) 42a^2 - 15ab 5) 8m^2 + 2mn + 12n^2

Please let me know if you need any further assistance!