What is the product of (-4x2-5x-1) (4x2-6x-2)

(-4x2-5x-1) (4x2-6x-2)

Final result:

-2 • (13x + 1) • (2x2 - 3x - 1)

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "x2" was replaced by "x^2".

Step by step solution:

Step 1:

Equation at the end of step 1:

(-13x - 1) • ((22x2 - 6x) - 2)

Step 2:

Pulling out like terms:

3.1 Pull out like factors:

-13x - 1 = - 1 • (13x + 1)

Step 3:

Pulling out like terms:

4.1 Pull out like factors:

(4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)

Trying to factor by splitting the middle term

4.2 Factoring 2x2 - 3x - 1

The first term is, 2x2 its coefficient is 2.

The middle term is, - 3x its coefficient is - 3.

The last term, "the constant", is - 1

Step-1 : Multiply the coefficient of the first term by the constant 2 • - 1 = - 2

Step-2 : Find two factors of - 2 whose sum equals the coefficient of the middle term, which is - 3.

-2 + 1 = - 1

-1 + 2 = 1

Observation : No two such factors can be found!

Conclusion : Trinomial can not be factored

Step 4:

Pulling out like terms:

5.1 Pull out like factors:

-26x - 2 = - 2 • (13x + 1)

Final result:

-2 • (13x + 1) • (2x2 - 3x - 1)