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Question

Question: \[(2\mathbf{a} + 3\mathbf{b}) \times (5\mathbf{a} + 7\mathbf{b}) =\]...

(2a+3b)×(5a+7b)=(2\mathbf{a} + 3\mathbf{b}) \times (5\mathbf{a} + 7\mathbf{b}) =

A

a×b\mathbf{a} \times \mathbf{b}

B

b×a\mathbf{b} \times \mathbf{a}

C

a+b\mathbf{a} + \mathbf{b}

D

7a+10b7\mathbf{a} + 10\mathbf{b}

Answer

b×a\mathbf{b} \times \mathbf{a}

Explanation

Solution

14(a×b)+15(b×a)=b×a14(\mathbf{a} \times \mathbf{b}) + 15(\mathbf{b} \times \mathbf{a}) = \mathbf{b} \times \mathbf{a}.