I NEED HELP ASAP THIS IS MY LAST ASSIGNMENT AND IF I DON'T GET THIS DONE I WILL FAIL

Polynomial Identities

Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.

Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.

I HAVE 45 = 50 - 5

Part 1 is explained in 1) of the explanation.

Part 2 is explained in 2) of the explanation.

Step-by-step explanation:

1) So you choose 45 and to write it as 50-5.

We want to square 45 without using a calculator.

That is we want to find without a calculator.

by your identity .

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2) Choose two numbers for and between 8 and 15. I will choose 10 and 12 .

Now we have to multiply 22 and 124 without a calculator...

22(124)

(20+2)(124)

124(20)+124(2)

124(10+10)+124(2)

1240+1240+248

2480+248

2728

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%