Question

Simplify : ( 3√5─ 5√2) (3√5+ 5√2)

Answer 1

Answer:

( 3√5─ 5√2) (3√5+ 5√2)

Step-by-step explanation:

$$\begin{lgathered}(3 \sqrt{5} - 5 \sqrt{2} )(4 \sqrt{5} + 3 \sqrt{2} ) \\ \\ = > 3 \sqrt{5} (4 \sqrt{5} + 3 \sqrt{2} ) - 5 \sqrt{2} (4 \sqrt{5} + 3 \sqrt{2} ) \\ \\ = > 3 \sqrt{5} (4 \sqrt{5} ) + 3 \sqrt{5} (3 \sqrt{2} ) - 5 \sqrt{2} (4 \sqrt{5} ) - 5 \sqrt{2} (3 \sqrt{2} ) \\ \\ = > 12 \times 5 + 9 \sqrt{10} - 20 \sqrt{10} - 15 \times 2 \\ \\ = > 60 - 11 \sqrt{10} - 30 \\ \\ = > 30 - 11 \sqrt{10}\end{lgathered}$$

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Answer 2

Answer:

( 3√5)² - (5√2)²

= (9 X 5) - (25 X 2)

= 45 - 50

= -5

Step-by-step explanation:

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