(5α+α²-14) + (10α +α²+ 35)

2α^2+15α+21

Step-by-step explanation:

(5α+α²-14) + (10α +α²+ 35)

Combine like terms

α^2+α^2+5α+10α-14+35

2α^2+15α+21

2a² + 15a + 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(5a + a² - 14) + (10a + a² + 35)

Step 2: Simplify

[Addition] Combine like terms (a²):                                                                  2a² + 5a - 14 + 10a + 35[Addition] Combine like terms (a):                                                                   2a² + 15a - 14 + 35[Addition] Combine like terms:                                                                        2a² + 15a + 21

Hey there! :)

You have to use the Pythagorean theorem: a² + b² = c²

A = 3
3² = 3 × 3 = 9

B = 8
8² = 8 × 8 = 64

64 + 9 = 73

√73 = 8.5

Your answer is 8.5

Hope this helps :)