Question

1. Выполните умножение: 1) a) m(n+k); 6) -l(q-r); 2) a) 3x²(x-3); 6) - 4x³ (x²-a); 3) a) 3x (x¹+x² − 1); 6) -5a (a²-3a-4); B) (4b²-4b + 16).0,5b; B) k (a-b+2); r) -x(p-t+3); B) - 5x¹ (2x-x³); r) (q¹0-q¹¹).8q¹5; r) 2a (2²-8ab + b²); A) x²(x5-x³+2x-1); e) -32 (-52³ +22²-2+1).

Answer 1

Ответ:

1) a) m(n+k)=mn+mk

б) -l(q-r)=-lq+lr

в) k(a-b+2)=ka-kb+2k

г) -x(p-t+3)=-xp+xt-3x

2) a) 3x²(x-3)=3x³-9x²

б) -4x³(x²-a)=-4x^5+4x³a

в) -5x⁴(2x-x³)=-10x^5-5x^7

г) (q^10-q¹¹)•8q^15=8q^25-8q^26

3) a) 3x(x⁴+x²-1)=3x^5+3x³-3x

б) -5a(a²-3a-4)=-5a³+15a²-20a

в)(4b²-4b+16)•0,5b=2b³-2b²+8

г) 2a(2a²-8ab+b²)=2a³-16a²b+2ab²

д) x²(x^5-x³+2x-1)=x^7-x^5+2x³-x²

e) -3z(-5z³+2z²-z)=15z⁴-6z³+3z²

Answer 2

1) a(m(n+k)) To multiply, we multiply the coefficients and add the exponents of the variables: Result: amn + amk

2) -l(q-r) To multiply, we multiply the coefficients and keep the variables as they are: Result: -lq + lr

3) a(3x²(x-3)) To multiply, we multiply the coefficients and add the exponents of the variables: Result: 3a(x²)(x-3) = 3ax³ - 9ax²

4) -4x³ + (x²-a) This is not a multiplication, but an addition. We keep the terms as they are: Result: -4x³ + x² - a

5) a(3x + (x¹ + x² - 1)) To multiply, we multiply the coefficients and keep the variables as they are: Result: 3ax + ax¹ + ax² - a

6) -5a + (a² - 3a - 4) This is not a multiplication, but an addition. We keep the terms as they are: Result: -5a + a² - 3a - 4

7) (4b² - 4b + 16) / 0,5b To divide, we divide the coefficients and subtract the exponents of the variables: Result: 8b - 8 + 32/b

8) k(a - b + 2) To multiply, we multiply the coefficients and keep the variables as they are: Result: ka - kb + 2k

9) -x(p - t + 3) To multiply, we multiply the coefficients and keep the variables as they are: Result: -x(p - t + 3)

10) -5x - (2x - x³) This is not a multiplication, but a subtraction. We keep the terms as they are: Result: -5x - 2x + x³

11) (q¹0 - q¹¹) / 8q¹5 To divide, we subtract the exponents of the variables and divide the coefficients: Result: q^-1 - q^-6 / 8q^5

12) 2a + (2² - 8ab + b²) This is not a multiplication, but an addition. We keep the terms as they are: Result: 2a + 4 - 8ab + b²

13) x²(x^5 - x³ + 2x - 1) To multiply, we multiply the coefficients and add the exponents of the variables: Result: x^7 - x^5 + 2x³ - x²

14) -32 + (-52³ + 22² - 2 + 1) This is not a multiplication, but an addition. We keep the terms as they are: Result: -32 + (-140608 + 484 - 2 + 1)