Question

How do you simplify 4x−1x2−4−3(x−1)x−2?

Answer 1

Answer :

$- 3x {}^{2} + 5x - 6$

Step by step explanation :

$4x - 1x \times 2 - 4 - 3(x - 1)x - 2$

Calculate the product. Multiplying a negative and a positive equals a negative : (-) × (+) = (-).

$= > 4x - (1 \times 2)x - 4 - 3(x - 1)x - 2$

Multiply the numbers

$= > 4x - 2x - 4 - 3(x - 1)x - 2$

Distribute - 3x through the parenthesis. Multiply each term in the parenthesis by - 3x

$= > 4x - 2x - 4 - 3x \times x - 3x \times ( - 1) - 2$

Calculate the product

$= > 4x - 2x - 4 - 3x {}^{2} - 3x \times ( - 1) - 2$

Multiplying two negatives equals a positive

$= > 4x - 2x - 4- 3x {}^{2} + 3x \times 1 - 2$

Calculate the product.

$= > 4x - 2x - 4 - 3x {}^{2} + 3x - 2$

Collect like terms by calculating the sum or difference of their coefficients

$= > 5x - 4 - 3 x {}^{2} - 2$

Calculate the difference. Extract the negative sign from the expression

$= > 5x- (4 + 2) - 3x {}^{2}$

Add the numbers

$= > 5x - 6 - 3x {}^{2}$

Use the commutative property to reorder the terms

$= > - 3x {}^{2} + 5x - 6$