Question

Simplify.
1. (b–4)²+(b–1)(2–b)
2. (a+3)(5–a)–(a–1)2
3. (5+2y)(y–3)–(5–2y)²

Answer 1

To simplify the expressions, follow the given steps for each expression.

Step-by-step explanation:

An expression is a combination of numbers, variables, operators, and symbols that represents a mathematical quantity or relationship but does not have a specific value until the variables are assigned values. Expressions can be simple or complex and can involve various mathematical operations.

To simplify the expressions:

1. (b–4)²+(b–1)(2–b) = b² - 8b + 16 + (b - 1)(-b + 2) = b² - 8b + 16 - b² + 3b - 2 = -5b + 14
2. (a+3)(5–a)–(a–1)² = (a + 3)(5 - a) - (a - 1)(a - 1) = 5a - a² + 15 - 3a - a + 1 = -a² + a + 16
3. (5+2y)(y–3)–(5–2y)² = 5y - 15 + 2y² - 6y - 25 + 20y - 4y² = -2y² + 21y - 40