Question

(x + 4) + (3x - 2); (x + 4) - (3x - 2) (x + 4) • (3x - 2) m • (2m - 1) • (3m + 2)

Answer 1

Пошаговое объяснение:

1. (х+4)+ (3x - 2) = х+4+3х-2= 4х+2

2. (x + 4) - (3x - 2)= х+4-3х+2= -2х+6

3. (x + 4) • (3x - 2)= 4х²-2х+12х-8= 4х²+10х-8

4. m • (2m - 1) • (3m + 2)= (2m²-m) •(3m+2)= 6m³+4m²-3m²-2m = 6m³+m²-2m

Answer 2

Let's simplify each of the given expressions:

1. (x + 4) + (3x - 2): To simplify, we can combine like terms by adding the coefficients of the 'x' terms and the constant terms separately: x + 4 + 3x - 2 = (x + 3x) + (4 - 2) = 4x + 2.

2. (x + 4) - (3x - 2): Similar to the previous expression, we combine like terms by subtracting the coefficients of 'x' terms and the constant terms separately: x + 4 - 3x + 2 = (x - 3x) + (4 + 2) = -2x + 6.

3. (x + 4) • (3x - 2): To simplify the multiplication, we distribute each term from the first expression to every term in the second expression: (x + 4) • (3x - 2) = x • (3x - 2) + 4 • (3x - 2) = 3x^2 - 2x + 12x - 8 = 3x^2 + 10x - 8.

4. m • (2m - 1) • (3m + 2): Again, we apply the distributive property to each term successively: m • (2m - 1) • (3m + 2) = m • (2m • (3m + 2) - 1 • (3m + 2)) = m • (6m^2 + 4m - 3m - 2) = m • (6m^2 + m - 2) = 6m^3 + m^2 - 2m.

So, the simplified forms of the given expressions are:

1. (x + 4) + (3x - 2) = 4x + 2.
2. (x + 4) - (3x - 2) = -2x + 6.
3. (x + 4) • (3x - 2) = 3x^2 + 10x - 8.
4. m • (2m - 1) • (3m + 2) = 6m^3 + m^2 - 2m.