Question

What is the correct order of operations for simplifying the expression 2 – 3x + 5 + 7(y – 5x)2 + x?
square the binomial, combine like terms, and then distribute 7 inside the parentheses
combine like terms, square the binomial, and then distribute 7 inside the parentheses
distribute 7 inside the parentheses, square the binomial, and then combine like terms
square the binomial, distribute 7 inside the parentheses, and then combine like terms

Answer 1

$175 {x}^{2} + 7 {y}^{2} - 70xy - 2x + 2$

Step-by-step explanation:

$Given, \: \: \: 2 - 3x + 5 + 7(y - 5x)^{2} + x \\ = 2 - 3x + 5 + 7( {y}^{2} - 10xy + 25 {x}^{2} ) + x \\ = 2 - 3x + 5 + 7 {y}^{2} - 70xy + 175 {x}^{2} + x \\ = 175 {x}^{2} + 7 {y}^{2} - 70xy - 2x + 2$