Question

What is the correct order of operations for simplifying the expression 2 – 3x + 5+7(y – 5x)2 + 0.

square the binomial, combine like terms, and then distribute 7 inside the parentheses
O combine like terms, square the binomial, and then distribute 7 inside the parentheses
O distribute 7 inside the parentheses, square the binomial, and then combine like terms
O square the binomial, distribute 7 inside the parentheses, and then combine like terms

Answer 1

The given expression is ,2 - 3 x + 5 + 7(y - 5 x)^{2} + x2−3x+5+7(y−5x)

2

+x

1 . First we will write the term having highest degree and then move to lowest degree,

→ 7 (y -5 x)² + x -3 x+2+5

2. Adding and subtracting like terms

→7 (y -5 x)² - 2 x+7

Expanding the term in brackets

→ 7(y² + 25 x² -10 x y) - 2 x + 7

Use distributive property

→ 7 y² + 175 x² -70 x y -2 x +7→[Wrote the terms from highest degree to lowest degree]

Answer 2

D. square the binomial, distribute 7 inside the parentheses, and then combine like terms

Explanation:

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