Question

(2x/3+3y/4)(2x/3-3y/4) evaluate

Answer 1

Answer:

Step by Step Solution:

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STEP

1

:

1

Simplify —

1

Equation at the end of step

1

:

((2x - (1 • y)) - 4) - 2

STEP

2

:

Final result :

2x - y - 6

Answer 2

Kindly click on brainliest option below :)

Solution:

$\sf{ \huge(} \dfrac{2x}{3} + \dfrac{3y}{4} { \huge)} \: { \huge(} \dfrac{2x}{3} - \dfrac{3y}{4} { \huge)}$

Use identity:

( a + b ) ( a - b ) = a² - b²

Now

$\sf={{ \huge(} \dfrac{2x}{3} {\huge)}}^{2} - { {\huge(} \dfrac{3y}{4}{ \huge)} }^{2}$

Always remember that when power is written like this ${(\frac{2x}{3})}^{2}$ then it is common to both 2x and 3 ...

Now we know that

( 2x )² = 2x × 2x = 4x²

Then

3² = 3 × 3 = 9

AGAIN

( 3y )² = 3y × 3y = 9y²

Then

4² = 4 × 4 = 16

continue....

$\sf = \dfrac{ {4x}^{2} }{9} - \dfrac{ {9y}^{2} }{16}$

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