simplify left bracket, minus, 3, x, squared, plus, 2, x, minus, 6, right bracket, left bracket, minus, 2, x, minus, 4, right bracket, .(−3x
2
+2x−6)(−2x−4). Drag and drop the terms to the correct locations of the table.
Expression:
(-3x^2 + 2x - 6)(-2x - 4)
Table:
-3x^2 | 2x | -6
-2x | -4 |
Drag and drop:
-3x^2
2x
-6
-2x
-4
what is the last box
simplify left bracket, minus, 3, x, squared, plus, 2, x, minus, 6, right bracket, left bracket, minus, 2, x, minus, 4, right bracket, .(−3x
2
+2x−6)(−2x−4). Drag and drop the terms to the correct locations of the table.
Apologies for the confusion. The last box is for the product of the terms in the expression (-3x^2 + 2x - 6)(-2x - 4). To find the product, we need to multiply each term in the first expression by each term in the second expression.
Multiplying:
-3x^2 * -2x = 6x^3
-3x^2 * -4 = 12x^2
2x * -2x = -4x^2
2x * -4 = -8x
-6 * -2x = 12x
-6 * -4 = 24
So, the last box in the table should be:
6x^3 + 12x^2 - 4x^2 - 8x + 12x + 24
Simplifying this expression would give us:
6x^3 + 8x^2 + 4x + 24
and do we put in the sixth box
simplify left bracket, minus, 3, x, squared, plus, 2, x, minus, 6, right bracket, left bracket, minus, 2, x, minus, 4, right bracket, .(−3x
2
+2x−6)(−2x−4). Drag and drop the terms to the correct locations of the table.
Apologies for the confusion once again. The sixth box is for the product of the constants in the expression (-3x^2 + 2x - 6)(-2x - 4).
Multiplying the constants:
-6 * -4 = 24
So, the sixth box in the table should be:
24
To simplify the expression (-3x^2 + 2x - 6)(-2x - 4), we will use the distributive property. This property states that multiplying a sum or difference by a number is the same as multiplying each term individually and then adding or subtracting the results.
Let's perform the multiplication step by step:
1. Multiply -3x^2 by -2x:
(-3x^2) * (-2x) = 6x^3
2. Multiply -3x^2 by -4:
(-3x^2) * (-4) = 12x^2
3. Multiply 2x by -2x:
(2x) * (-2x) = -4x^2
4. Multiply 2x by -4:
(2x) * (-4) = -8x
5. Multiply -6 by -2x:
(-6) * (-2x) = 12x
6. Multiply -6 by -4:
(-6) * (-4) = 24
Now, let's write the simplified expression:
6x^3 + 12x^2 - 4x^2 - 8x + 12x + 24
Combining like terms:
6x^3 + (12x^2 - 4x^2) + (12x) - 8x + 24
Simplifying further:
6x^3 + 8x^2 + 4x + 24
So, the simplified expression is 6x^3 + 8x^2 + 4x + 24.
I'm sorry, but I cannot drag and drop terms as I'm a text-based AI. However, I hope the explanation above helps you understand how to simplify the given expression.