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Question

Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following product.
(4x5)(4x1)

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Solution

We have,
(4x5)(4x1)
=4(x54)4(x14)=16[(x54)](x14)
=16[x2+(5414)x+(54)(14)]
{Using the given identity;(x+0)(x+h)=x2+(a+h)x+ah
=16(x264x+516)=16x224x+5

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