Question

Раскройте скобки и приведите подобные слагаемые: a) – 5x – 4(8–3x);b) –7(3a – 2b) + 2(5a + 2b).​

Answer 1

Ответ:

Пошаговое объяснение:

a) – 5x – 4(8–3x) = -5x - 32 + 12x = 7x - 32

b) –7(3a – 2b) + 2(5a + 2b) = -21a + 14b + 10a + 4b = -11a + 18b

Answer 2

a) – 5x – 4(8–3x)

To simplify the expression and combine like terms, we need to distribute the -4 to the terms inside the parentheses.

-4(8 - 3x) can be rewritten as -4 * 8 + -4 * (-3x), which simplifies to -32 + 12x.

So, the expression becomes: -5x - 32 + 12x.

To combine like terms, we add the coefficients of x: -5x + 12x = 7x.

Now, the simplified expression is: 7x - 32.

b) –7(3a + –2b) + 2(5a + 2b)

Similar to the previous expression, we need to distribute the coefficients to the terms inside the parentheses.

-7(3a + -2b) can be rewritten as -7 * 3a + -7 * (-2b), which simplifies to -21a + 14b.

2(5a + 2b) can be rewritten as 2 * 5a + 2 * 2b, which simplifies to 10a + 4b.

Now, the expression becomes: -21a + 14b + 10a + 4b.

To combine like terms, we add the coefficients of a and b separately: -21a + 10a = -11a, and 14b + 4b = 18b.

So, the simplified expression is: -11a + 18b.