Question

simplify
- 2x + 3y + 4)²-(2x+3y-4)²​

Answer 1

Answer:

First, use this rule of exponents to rewrite the term within the parenthesis:

a

=

a

1

(

2

x

3

y

)

4

⇒

(

2

1

x

3

y

1

)

4

Now, use this rule of exponents to remove the outer exponent:

(

x

a

)

b

=

x

a

×

b

(

2

1

x

3

y

1

)

4

⇒

2

1

×

4

x

3

×

4

y

1

×

4

⇒

2

4

x

12

y

4

⇒

16

x

12

y

4

Answer 2

SOLUTION

CORRECT QUESTION

To simplify

$\sf {( - 2x + 3y + 4)}^{2} - {(2x + 3y - 4)}^{2}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf {a}^{2} - {b}^{2} = (a + b)(a - b)$

EVALUATION

Here the given expression is

$\sf {( - 2x + 3y + 4)}^{2} - {(2x + 3y - 4)}^{2}$

We simplify it as below

$\sf {( - 2x + 3y + 4)}^{2} - {(2x + 3y - 4)}^{2}$

$\sf = \{( - 2x + 3y + 4) +(2x + 3y - 4) \} \times \{( - 2x + 3y + 4) - (2x + 3y - 4) \}$

$\sf = ( - 2x + 3y + 4 +2x + 3y - 4) ( - 2x + 3y + 4 - 2x - 3y + 4)$

$\sf = 6y \times ( - 4x + 8)$

$\sf = - 24y ( x - 2)$

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