Question

Expand the from: (4a-7b)^2

Answer 1

( 4a - 7b )²

Using formula ,

( a - b )² = a² + b² - 2ab

We get,

16a² + 49b² - 56ab Ans.

Answer 2

Answer:

Required expand form is

$16 {a}^{2} - 56ab + 49 {b}^{2}$

Step-by-step explanation:

Given,

${(4a - 7b)}^{2}$

We want to expand it.

We know,

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

So,

${(4a - 7b)}^{2} \\ = {(4a)}^{2} - 2.4a.7b + {(7b)}^{2} \\ = 16 {a}^{2} - 56ab + 49 {b}^{2}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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