Question

value: 4

match the items.

a. \\((x + 5)(x - 5)\\)
b. \\((x - 8)(x + 5)\\)
c. \\((x + 1)(x + 5)\\)
d. \\((x + 1)(x + 7)\\)

1. \\(x^2 + 6x + 5 = 0\\)
2. \\(x^2 - 25 = 0\\)
3. \\(x^2 - 3x - 40 = 0\\)
4. \\(x^2 + 8x + 7 = 0\\)

Explanation:

Expand expression a

$$ (x + 5)(x - 5) = x^2 - 25 $$

Expand expression b

$$ (x - 8)(x + 5) = x^2 + 5x - 8x - 40 = x^2 - 3x - 40 $$

Expand expression c

$$ (x + 1)(x + 5) = x^2 + 5x + x + 5 = x^2 + 6x + 5 $$

Expand expression d

$$ (x + 1)(x + 7) = x^2 + 7x + x + 7 = x^2 + 8x + 7 $$

Answer:

No.	Problem	Answer
2	\(x^2 - 25 = 0\)	a
3	\(x^2 - 3x - 40 = 0\)	b
4	\(x^2 + 8x + 7 = 0\)	d