Question

1) 3m n^4 * (-2m^5 n^2) = ? 2) (-3a^3)^2 = ?3) 4y (y^2+5y-3) = ?4) (a+3)(a-8) = ? 5) (a-6)(a+6) = ?6) (5a+1)(5a-1) = ?7) (x-3)^2 = ? 8) (3x +1)^2 = ? 9) (a+4)(a-4)-a(a-8) = ?10) (7x - 1)2 – (7x-1)(7x + 1) =​

Answer 1

Ответ:

Объяснение :1) 3m n^4 * (-2m^5 n^2) = -6mn^4^m5n^4=-6m^6n^6

Answer 2

1) To simplify the expression 3m + n^4 + (-2m^5 + n^2), we can combine like terms:

3m + n^4 + (-2m^5 + n^2) = 3m + n^4 - 2m^5 + n^2

2) To simplify the expression (-3a^3)^2, we can square the expression inside the parentheses:

(-3a^3)^2 = (-3)^2 * (a^3)^2 = 9 * a^(3*2) = 9a^6

3) To simplify the expression 4y + (y^2 + 5y - 3), we can combine like terms:

4y + (y^2 + 5y - 3) = y^2 + 4y + 5y - 3 = y^2 + 9y - 3

4) To simplify the expression (a+3)(a-8), we can use the distributive property:

(a+3)(a-8) = a(a-8) + 3(a-8) = a^2 - 8a + 3a - 24 = a^2 - 5a - 24

5) To simplify the expression (a-6)(a+6), we can use the difference of squares formula:

(a-6)(a+6) = a^2 - 6^2 = a^2 - 36

6) To simplify the expression (5a+1)(5a-1), we can use the difference of squares formula:

(5a+1)(5a-1) = (5a)^2 - 1^2 = 25a^2 - 1

7) To simplify the expression (x-3)^2, we can use the square of a binomial formula:

(x-3)^2 = (x-3)(x-3) = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

8) To simplify the expression (3x+1)^2, we can use the square of a binomial formula:

(3x+1)^2 = (3x+1)(3x+1) = (3x)^2 + 1^2 + 3x + 3x = 9x^2 + 1 + 6x

9) To simplify the expression (a+4)(a-4) - a(a-8), we can use the distributive property:

(a+4)(a-4) - a(a-8) = a(a-4) + 4(a-4) - a(a-8) = a^2 - 4a + 4a - 16 - a^2 + 8a = 8a - 16

10) To simplify the expression (7x - 1)^2 - (7x - 1)(7x + 1), we can use the difference of squares formula:

(7x - 1)^2 - (7x - 1)(7x + 1) = (7x)^2 - 1^2 - (7x - 1)(7x + 1) = 49x^2 - 1 - (49x^2 - 1) = 49x^2 - 1 - 49x^2 + 1 = 0