Question

А)(2а²-3а+1)- (7а²-5а) б)3x*(4x²-x)

Answer 1

$a)(2a^2-3a+1)-(7a^2-5a)=\\\\=2a^2-3a+1-7a^2+5a=-5a^2+2a\\\\b)3x(4x^2-x)=12x^3-3x^2$

Answer 2

а) To simplify the expression (2a² - 3a + 1) - (7a² - 5a), we need to distribute the negative sign to every term inside the parentheses:

= 2a² - 3a + 1 - 7a² + 5a

Next, we can combine like terms. Terms with the same power of 'a' can be combined:

= (2a² - 7a²) + (-3a + 5a) + 1

Simplifying further:

= -5a² + 2a + 1

Therefore, the simplified expression is -5a² + 2a + 1.

b) To simplify the expression 3x * (4x² - x), we need to distribute 3x to every term inside the parentheses:

= 3x * 4x² - 3x * x

Now we can simplify each term:

= 12x³ - 3x²

Thus, the simplified expression is 12x³ - 3x².