expand 3A - 4 b whole cube
Answers
Answered by
16
Answer: 27A³ - 108A²B + 144AB² - 64B³
Step-by-step explanation:
use formula
(a-b)³ = a³ - 3ab(a-b) - b³ => a³ - 3a²b + 3ab² - b³
(3A - 4B)³ = (3A)³ - 3(3A)(4B)(3A - 4B) - (4B)³
=> 27A³ - 108A²B + 144AB² - 64B³
Answered by
8
Step-by-step explanation:
= ^2 for square
= ^3 for cube
(3a-4b)^3
(3a-4b)(3a-4b)(3a-4b)
so first multiply 2
(3a-4b)(3a-4b)
=9a^2-12ab-12ab+16b^2
=9a^2-24ab+16^2
now multiply 2 with 3rd
(3a-4b)(9a^2-24ab+16^2)
=27a^3-72a^2b+48ab^2+96ab^2-64b^3
27^3-64b^3-108a^2b+144ab^2
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