How to factorize the following expression?pqr + pr + q + 1

Mathematics

1 answer:

Sveta_85 [38]3 years ago

5 0

<h3>Answer: (pr + 1)(q + 1)</h3>

===============================================

Work Shown:

Use the factor by grouping method to get the following.

pqr + pr + q + 1

(pqr + pr) + (q + 1)

pr(q + 1) + 1(q + 1)

(pr + 1)(q + 1)

We can use the FOIL rule, distribution, or the box method to expand out (pr+1)(q+1) to get the original expression again. This helps confirm the answer.

You might be interested in

Orlando invested $16,000 in an eight-year CD bearing 6.5% interest, but needed to withdraw $3,500 after five years. If the CD’s

nignag [31]

Given:
Principal = 16,000
interest rate = 6.5%
term = 8 years

Interest = 16,000 * 6.5% * 8 yrs
I = 8,320 interest earned for the whole 8 years

Total = 16,000 + 8,320 = 24,320

Pretermination. 5 years
Interest = 16,000 * 6.5% * 5 yrs
I = 5,200

Total = 16,000 + 5,200 = 21,200

Amount withdrawn = 3,500
penalty = 3,500 * 6.5% * 1 yr = 227.50

New principal = 16,000 - 3,500 = 12,500
Interest = 12,500 * 6.5% * 3 yrs
I = 2,437.50

Interest w/o pretermination = 8,320
Interest w pretermination = 5,200 + 2,437.50 = 7,637.50

Difference = 8,320 - 7,637.50 = $682.50

Orlando earns less money if he had not made his early withdrawal, the value of the amount lost is B.) $682.50

5 0

3 years ago

Read 2 more answers

The graph of the line passes through the points (0,6) and (3,0). What is the equation of this line?

MakcuM [25]

<h2><u>Answers plus Step-by-step ex</u>planations:</h2>

The graph of the line passes through the points (0,6) and (3,0)

<u> (a) The equation of the line AB:</u>

<u />

The slope of the line is;

Slope = change in y ÷ change in x = $\frac{0 - 6}{3 - 0}$ = -2