Question

how to find cube of :a) (4a-7b) ​

Answer 1

Answer:

cube of :a) (4a-7b)

Step-by-step explanation:

how to find cube of :a) (4a-7b)

Answer 2

Cube of (4a-7b) is

$64 {a}^{3} - 343 {b}^{3} +336 {a}^{2} b - 588a {b}^{2}$

GIVEN:- (4a-7b)

TO FIND:- a cube of the given

SOLUTION:-

• A cube number is an outcome when a number is multiplied by itself twice and is denoted as a³.

• $( {a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)$

We'll apply the above formula for solving the given question where a = 4a and b = 7b

According to the question,

${(4a-7b)}^{3} \\ = {(4a)}^{3} - {(7b)}^{3} - 3 \times 4a \times ( - 7b)(4a - 7b) \\ = 64 {a}^{3} - 343 {b}^{3} + 84ab(4a - 7b) \\= 64 {a}^{3} - 343 {b}^{3} +336 {a}^{2} b - 588a {b}^{2}$

Hence, a cube of (4a-7b) is

$64 {a}^{3} - 343 {b}^{3} +336 {a}^{2} b - 588a {b}^{2}$

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