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2 years ago

Which of the following trinomials can be factored using the square of the difference?

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

8 0

Answer:

d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

(ax -b)² = a²x² -2abx +b²

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

16x² -56x +49 = (4x -7)² . . . . the square of a difference

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