Answer:
[1] 5x² - 3x - 2
[2] 4s² - 28s + 49
[3] 4y² + 9y + 8
Explanation:
- (3x² + 4) - (-2x² + 3x + 6)
Remove Parenthesis: (a) = a
3x² + 4 - (-2x² + 3x + 6)
Simplify -(-2x² + 3x + 6): 2x² - 3x - 6
3x² + 4 + 2x² - 3x - 6
Simplify 3x² + 4 + 2x² - 3x - 6
5x² - 3x - 2
Apply Perfect Square Formula: (a - b)² = a² - 2ab + b²²: a = 2s, b = 7
(2s)² - 2 · 2s · 7 + 7²
Simplify (2s)² - 2 · 2s · 7 + 7²
4s² - 28s + 49
- (7y² + 9y - 2) + (-3y² + 10)
Remove Parenthesis: (a) = a
7y² + 9y - 2 - 3y² + 10
Group Like Terms
7y² - 3y² + 9y - 2 + 10
Add Similar Elements: 7y² - 3y² = 4y²
4y² + 9y - 2 + 10
Add: -2 + 10 = 8
4y² + 9y + 8
