Answer:
A. (h - 8)(h + 3)
h² + 3h - 8h - 24
B. (x - 10)(x + 7)
x² + 7x - 10x - 70
C. (x + 7)(x + 4)
x² + 4x + 7x + 28
D. (2x - 1)(2x - 1)
4x² - 2x - 2x + 1
E. (a + 2)(a + 2)
a² + 2a + 2a + 4
A. (x + 1)(x + 1)
x² + x + x + 1
B. (2x - 3)(2x - 3)
x² - 6x - 6x + 9
C. (4x + 7)(4x + 7)
16x² + 28x + 28x + 49
D. (j - 9)(j + 4)
j² + 4j - 9j - 36
E. (c - 10)(c + 4)
c² + 4c - 10c - 40
Step-by-step explanation:
4. x² - 17x + 70
x² - 10x - 7x + 70
x × (x - 10) - 7(x - 10)
{but the given choices is (x - 10)(x + 7)}
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Answers & Comments
Answer:
I.
A. (h - 8)(h + 3)
h² + 3h - 8h - 24
= h² - 5h - 24 (5)
B. (x - 10)(x + 7)
x² + 7x - 10x - 70
= x² - 3x - 70
C. (x + 7)(x + 4)
x² + 4x + 7x + 28
= x² + 11x + 28 (3)
D. (2x - 1)(2x - 1)
4x² - 2x - 2x + 1
= 4x² - 4x + 1 (2)
E. (a + 2)(a + 2)
a² + 2a + 2a + 4
= a² + 4a + 4 (1)
II.
A. (x + 1)(x + 1)
x² + x + x + 1
= x² + 2x + 1 (1)
B. (2x - 3)(2x - 3)
x² - 6x - 6x + 9
= x² - 12x + 9 (2)
C. (4x + 7)(4x + 7)
16x² + 28x + 28x + 49
= 16x² + 56x + 49 (3)
D. (j - 9)(j + 4)
j² + 4j - 9j - 36
= j² - 5j - 36 (4)
E. (c - 10)(c + 4)
c² + 4c - 10c - 40
= c² - 6c - 40 (5)
Step-by-step explanation:
I.
4. x² - 17x + 70
x² - 10x - 7x + 70
x × (x - 10) - 7(x - 10)
= (x - 10)(x - 7)
{but the given choices is (x - 10)(x + 7)}