Factor –8x3 – 2x2 – 12x – 3 by grouping. what is the resulting expression?
a. (2x2 – 3)(4x + 1)
b. (–2x2 – 3)(–4x + 1)
c. (2x2 – 3)(–4x + 1)
d. (–2x2 – 3)(4x + 1)

d. .

Step-by-step explanation:

We have been given an expression . We are asked to factor our given expression.

First of all, we will make to groups of our given expression as:

Now, we will factor out Greatest Common Factor from each group.

Therefore, the factored form of our given expression is and option 'd' is the correct choice.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w