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katrin [286]
2 years ago
12

What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Squar

e of Binomial; D. Sum of Cubes)
Mathematics
2 answers:
Marysya12 [62]2 years ago
7 0

Answer:

C. Square of Binomial

Step-by-step explanation:

To prove the identity you should use square of Binomial that states the following:

(a+b)^{2}=a^{2}+2ab+b^{2}

Lets prove it, so first take the equation to solve:

(10+6)^{2}

Then square the first term:

(10+6)^{2}=10^{2}

Then multiply by 2 the first and second terms:

(10+6)^{2}=10^{2}+2(10)(6)

Finally square the second term:

(10+6)^{2}=10^{2}+2(10)(6)+6^{2}

Solve the values:

(10+6)^{2}=100+2(10)(6)+6^{2}

(10+6)^{2}=100+120+6^{2}

(10+6)^{2}=100+120+36

(10+6)^{2}=256

And prove the polynomial identity:

16^{2}=256

Anna71 [15]2 years ago
3 0
Not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee

answer is square of binomial (why do we even need this property, oh well)


C
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