Question

(¼x² - 1/5y²). (4x²+5y²)​

Answer 1

Answer:

here's the answer friend

Step-by-step explanation:

1. first

expand the fraction to get the least common denominator

$\frac{1}{ {4x}^{2} } - \frac{1}{ {5y}^{2} } \\ = \frac{5 {y}^{2} \times 1 }{ {5y}^{2} \times {4x}^{2} } - \frac{1}{ {5y}^{2} }$

expand the fraction to get the least common denominator

$\frac{ {5y}^{2} \times 1}{ {5y}^{2} \times {4x}^{2} } - \frac{ {4x}^{2} - 1 }{ {4x}^{2} \times {5y}^{2} }$

any expression multiplied by 1 remains the same

$\frac{ {5y}^{2} }{ {5y}^{2} \times {4x}^{2} } - \frac{ {4x}^{2} \times 1 }{ {4x}^{2} \times {5y}^{2} }$

calculate the product

$\frac{ {5y}^{2} }{ {20x}^{2} {y}^{2} } - \frac{ {4x }^{2} \times 1}{ {4x}^{2} \times {5y}^{2} }$

calculate the product

$\frac{ {5y}^{2} }{ {20x}^{2} {y}^{2} } - \frac{ {4x}^{2} }{ {20x}^{2} {y}^{2} }$

write all numerators above the common denominator

$\frac{ {5y}^{2} - {4x}^{2} }{ {20x}^{2} {y}^{2} }$

thanks

that's your answer friend.

Hope it helps.

please mark my answer as the brainliest