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If a×b=2a−3b+aba\times b=2 a-3 b+a b,then 3×5+5×33 \times 5+5 \times 3 is equal to

Solution

✅ Correct Option: 3

Given: a×b=2a−3b+aba × b = 2a - 3b + ab

Let's find what 3×53 × 5 means using this definition:

When a=3a = 3, b=5b = 5:

⇒3×5=2(3)−3(5)+(3)(5)\Rightarrow 3 × 5 = 2(3) - 3(5) + (3)(5)

=6−15+15= 6 - 15 + 15

=6= 6

Similarly for 5×35 × 3:

When a=5a = 5, b=3b = 3:

5×3=2(5)−3(3)+(5)(3)5 × 3 = 2(5) - 3(3) + (5)(3)

=10−9+15= 10 - 9 + 15

=16= 16

Therefore, 3×5+5×3=6+16=223 × 5 + 5 × 3 = 6 + 16 = 22

The answer is 2222

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