Math, asked by sharonthomas28, 7 months ago

factorise;5x²-20y²
please tell me the answer​

Answers

Answered by DevyaniKhushi
2

 \huge {5x}^{2}  - 20 {y}^{2}  \\  \\\huge 5( {x}^{2}  -  {4y}^{2} ) \\  \\ \huge5 \{  {(x)}^{2}  -  {(2y)}^{2} \} \\  \\ \huge5 \{(x - 2y)(x + 2y) \} \\  \\ \huge5(x  +  2y)(x - 2y)

Answered by Anonymous
7

Answer:

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

Step-by-step explanation:

Firstly, take 5 out from both terms.

5x² - 20y² = 5(x² - 4y²)

Then use the formula a² - b² = (a + b)(a - b).

We know that 4y² = (2y)².

5(x² - 4y²) = 5(x + 2y)(x - 2y)

Hence 5x² - 20y² = 5(x + 2y)(x - 2y).

Hope it helps....

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