Question

(1) 4x² – 25y² + 2x + 5y​

Answer 1

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Step-by-step explanation:

To solve this question, we need to know the property: a² - b² = (a+b) (a-b)

Now, take a² = 4x² and b² = 25y² and substitute:

4x² - 25y² = (a+b) (a-b) ——— equation 1

To find a, take the square root of 4x² = √(4x²) = 2x

To find b , take the square root of 25y² = √(25y²) = 5y

Now, substitute a and b in equation 1

4x² - 25y² = (2x+5y) (2x-5y)

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Answer 2

$4 {x}^{2} - 25 {y}^{2} + 2x + 5y$

$( {2x)}^{2} - ( {5y)}^{2} + 2x + 5y$

$(2x + 5y)(2x - 5y) + 2x + 5y$