Question

Представьте в виде многочлена: 1. (а+b)^2 2.(m-n)^2 3.(x+3)^2 4.(5-a)^2 5.(c-1/3)^2 6.(2+3x)^2 7.(3x-1/3y)^2 8.(-a-b)^2 Упростите выражение: 1.14а+(а-7)^2 2.9х^2-(3х-2)^2

Answer 1

1. (а+b)^2=a^2+2ab+b^2

2.(m-n)^2=m^2-2mn+n^2

3.(x+3)^2=x^2+6X+9

4.(5-a)^2=25-10a+a^2

5.(c-1/3)^2=c^2-2/3c+1/9

6.(2+3x)^2=4+12x+9x^2

7.(3x-1/3y)^2=9x^2-2xy+1/9y^2

8.(-a-b)^2=a^+2ab+b

Упростите выражение:

1.14а+(а-7)^2=14a+a^2-14a+49=a^2+49

2.9х^2-(3х-2)^2=9x^2-9x^2-12x+4=4-12x

Answer 2

1. (a + b)^2 = a^2 + 2ab + b^2
2. (m - n)^2 = m^2 - 2mn + n^2
3. (x + 3)^2 = x^2 + 6x + 9
4. (5 - a)^2 = 25 - 10a + a^2
5. (c - 1/3)^2 = c^2 - 2/3c + 1/9
6. (2 + 3x)^2 = 4 + 12x + 9x^2
7. (3x - 1/3y)^2 = 9x^2 - 2xy + 1/9y^2
8. (-a - b)^2 = a^2 + 2ab + b^2

Simplifying the expressions:

1. 14a + (a - 7)^2 = 14a + a^2 - 14a + 49 = a^2 + 49
2. 9x^2 - (3x - 2)^2 = 9x^2 - (9x^2 - 12x + 4) = 9x^2 - 9x^2 + 12x - 4 = 12x - 4