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Answer:
16. (x + y + z)²
Square the expression.
x² + y² + z²
17. (2a + 3b + 5c)²
Using (a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc, square the expression.
(2a)² + (3b)² + (5c)² + 2(2a)(3b) + 2(2a)(5c) + 2(3b)(5c)
Simplify the terms.
4a² + 9b² + 25c² + 12ab + 20ac + 30bc
18. (x² - 2x - 3)²
Square the expression.
x⁴ + 4x² + 9 - 4x³ - 6x² + 12x
Collect like terms.
x⁴ - 2x² + 9 - 4x³ + 12x
Rearrange the terms using the commutative property.
x⁴ - 4x³ - 2x² + 12x + 9
19. (a + b - 0.6c)²
Express the decimal as an improper fraction.
(a + b - ⅗c)²
Using (a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc, square the expression.
a² + b² + (-⅗c)² + 2ab + 2a(-⅗) + 2b(-⅗)
Simplify the terms.
a² + b² + 9/25c² + 2ab - 6/5a - 6/5b
20. (½x - 3/10y + 2)²
Using (a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc, square the expression.
(½x)² + (-3/10y)² + (2)² + 2(½x)(-3/10y) + 2(½x)(2) + 2(-3/10y)(2)
Simplify the terms.
¼x² + 9/100y² + 4 - 3/10xy + 2x - 6/5y