Question

Раскрыть скобки 4x(3x-8)-3(8x²-2)

Answer 1

$4x(3x - 8) - 3(8 {x}^{2} - 2) = 12 {x}^{2} - 32x - 24 {x}^{2} + 6 = - 12 {x}^{2} - 32x + 6$

Answer 2

12x^2-32x-24x^2+6 = -12x^2-32x+6

Answer 3

To expand the expression, you need to apply the distributive property, also known as the distributive law or distributive property of multiplication over addition. This property states that for any real numbers a, b, and c:

a * (b + c) = a * b + a * c

Now let's apply this property to the given expression:

4x(3x - 8) - 3(8x^2 - 2)

Step 1: Distribute the 4x and -3:

= 4x * 3x - 4x * 8 - 3 * 8x^2 - 3 * (-2)

Step 2: Perform the multiplications:

= 12x^2 - 32x - 24x^2 + 6

Step 3: Combine like terms (terms with the same variable and exponent):

= (12x^2 - 24x^2) + (-32x + 6)

Step 4: Simplify:

= -12x^2 - 32x + 6

So, after expanding the expression and combining like terms, the result is:

-12x^2 - 32x + 6