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Question

Reduce the following expression using binomial identities: (3x+5)(3x+10).

A
9x2+45x+50
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B
9x245x+50
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C
9x2+45x50
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D
9x2+4550
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Solution

The correct option is A 9x2+45x+50
We know that binomial identities for (x+y)(x+z)=x2+(y+z)x+yz
So, x=3x,y=5,z=10
= (3x)2+(5+10)3x+5×10
= 9x2+45x+50

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