Question

10. Simplify : (3√5 - 5√2)(4√5 + 3√2)​

Answer 1

Step-by-step explanation:

Open the brackets

\begin{gathered}(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{gathered}

(3

5

−5

2

)(4

5

+3

2

)

=>3

5

(4

5

+3

2

)−5

2

(4

5

+3

2

)

=>3

5

(4

5

)+3

5

(3

2

)−5

2

(4

5

)−5

2

(3

2

)

=>12×5+9

10

−20

10

−15×2

=>60−11

10

−30

=>30−11

10

Answer 2

Step-by-step explanation:

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