Math, asked by madhuvandhi, 11 months ago

expand 3A - 4 b whole cube​

Answers

Answered by spiderman2019
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 8256rohitp2xlq8
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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