题目
H Algebra 2 HA2 4.5/4.6 Quiz
单项选择题
Factor completely. 64 𝑥 3 − 𝑦 3
选项
A.Prime
B.4
(
𝑥
−
𝑦
)
(
4
𝑥
2
+
𝑥
𝑦
+
𝑦
2
)
C.4
(
𝑥
+
𝑦
)
(
4
𝑥
2
−
𝑥
𝑦
+
𝑦
2
)
D.(
2
𝑥
+
𝑦
)
(
2
𝑥
−
𝑦
)
(
16
𝑥
+
𝑦
)
E.(
4
𝑥
−
𝑦
)
(
16
𝑥
2
+
4
𝑥
𝑦
+
𝑦
2
)
F.(
4
𝑥
+
𝑦
)
(
16
𝑥
2
−
4
𝑥
𝑦
+
𝑦
2
)
G.(
4
𝑥
2
−
𝑦
2
)
(
16
𝑥
+
𝑦
)
H.(
4
𝑥
2
+
𝑦
2
)
(
16
𝑥
−
𝑦
)
查看解析
标准答案
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思路分析
Let’s examine the expression to factor: 64x^3 − y^3. This is a difference of cubes form, since 64x^3 is (4x)^3 and y^3 is y^3.
Option A: Prime — This is not prime factoring; 64x^3 − y^3 can be decomposed into binomial and trinomial factors, so labeling it prime misses the standard algebraic identity for a difference of cubes.
Option B: (4x − y)(4x^2 + x y + y^2) — Compare with the standard formula a^3 − b^3 = (a − b)(a^2 + a b + b......Login to view full explanation登录即可查看完整答案
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