Answer:
1.
(y + 3)(y + 5)
y² + 5y + 3y + 15
= y² + 8y + 15
2.
(x + 7)(x - 2)
x² - 2x + 7x - 14
= x² + 5x - 14
3.
(3m - 1)(m + 7)
3m² + 21m - m - 7
= 3m² + 20m - 7
4.
(a - 2)²
= a² 4a + 4
5.
(x + 6)²
= x² + 12x + 36
6.
(x + 7)(x - 7)
x² - 7²
= x² - 49
7.
(2x + 2)(2x - 2)
(2x)² - 2²
2²x² - 2²
4x² - 2²
= 4x² - 4
8.
(a - 2)³
= a³ - 6a³ + 12a - 8
9.
(x + 7)(x² + 2x + 1)
= x³ + 9x² + 15x + 7
10.
(x - 2)(x² + 4x + 4)
= x³ + 2x² - 4x - 8
Step-by-step explanation:
Hope it helps
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Answers & Comments
Answer:
1.
(y + 3)(y + 5)
y² + 5y + 3y + 15
= y² + 8y + 15
2.
(x + 7)(x - 2)
x² - 2x + 7x - 14
= x² + 5x - 14
3.
(3m - 1)(m + 7)
3m² + 21m - m - 7
= 3m² + 20m - 7
4.
(a - 2)²
= a² 4a + 4
5.
(x + 6)²
= x² + 12x + 36
6.
(x + 7)(x - 7)
x² - 7²
= x² - 49
7.
(2x + 2)(2x - 2)
(2x)² - 2²
2²x² - 2²
4x² - 2²
= 4x² - 4
8.
(a - 2)³
= a³ - 6a³ + 12a - 8
9.
(x + 7)(x² + 2x + 1)
= x³ + 9x² + 15x + 7
10.
(x - 2)(x² + 4x + 4)
= x³ + 2x² - 4x - 8
Step-by-step explanation:
Hope it helps