Question

(2x + 3y) (2x – 3y) (4x2 + y2)​

Answer 1

Answer:

As we know the formula (a+b)(a+b)= a

2

+b

2

Similarly (a−b)(a+b)=a

2

−b

2

So = (2x−3y)(2x+3y) =(2x)

2

−(3y)

2

= 4x

2

−9y

2

... (eq1)

So = (4x

2

−9y

2

)(4x

2

−9y

2

) .. using (eq1)

= (4x

2

)

2

−(9y

2

)

2

= 16x

4

−81y

4

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Answer 2

Step-by-step explanation:

Question -

(2x + 3y) (2x - 3y) (4x² + y²)

Equation -

(a + b) (a - b) = (a² - b²)

Simplification -

[(2x)² - (3y)²]

(4x² - 9y²)

Question -

(4x² - 9y²) (4x² + y²)

New Equation -

(x - a) (x + b) = x² -x(a + b) - ab

Simplification -

16x² - x(4x² + 9y²) - 9y³

16x² - 4x³ - 9x²y - 9y³

Answer -

4x(4x - x²) -9y(9x² - y²)