Question

What should be added to (x-4) (x-6) to get the product (x-3) (x-8)?

Answer 1

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Answer 2

Given that,

(x-4) (x-6) and (x-3) (x-8)

To find,

What should be added to (x-4) (x-6) to get the product (x-3) (x-8)?

Solution,

Let y is added to (x-4) (x-6) to get the product (x-3) (x-8). According to question,

$(x-4) (x-6)+y=(x-3) (x-8)\\\\x^2-6x-4x+24+y=x^2-8x-3x+24\\\\-10x+y=-11x\\\\y=-11x+10x\\\\y=-x$

So, it is clear that (-x) should be added to (x-4) (x-6) to get the product (x-3) (x-8).