Question

Factorize: 20x² - 45y²​

Answer 1

Answer:

20x^2 - 45y^2

= 5(4x² - 9y²)  

= 5(2x - 3y)(2x + 3y)  .....ans.

Step-by-step explanation:

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Answer 2

$= = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 20 {x}^{2} - 45 {y}^{2} \\ = = > \: \: (20 \times {x}^{2} ) - ( {3}^{2} \times 5 {y}^{2} ) \\ = = > ({2}^{2} \times 5 {x}^{2} ) - ( {3}^{2} \times 5 {y}^{2} ) \\ = = > \: \: \: \: \: \: \: \: \: \: \: \: 5((2 {x})^{2} - (3 {y})^{2} ) \:$

From the identity (A+B)(A-B) = A^2 -B^2

$= 5((2x + 3y)(2x - 3y))$

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