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lbvjy [14]
3 years ago
6

Which expressions are differences of squares? Select each correct answer

Mathematics
2 answers:
garri49 [273]3 years ago
4 0
For this ones the second value is always negative so A is not correct. Also they have to have an exact square root which 50 doesn't. So the answers are B and C
(a-6)(a+6)
(w-11)(w+11)
murzikaleks [220]3 years ago
4 0

Answer:

Option B, C and D are correct.

a^2-36, w^2-121 and n^2-50

Step-by-step explanation:

For any real number a and b:

Difference of square is given by:

a^2-b^2 = (a-b)(a+b)

We have to find Which expressions are differences of squares.

Option A :

x^2+25

⇒x^2+5^2

This cannot be written as a difference of square.

Option B:

a^2-36

⇒a^2-6^2

⇒(a-6)(a+6)

Option C:

w^2-121

⇒w^2-11^2

⇒(w-11)(w+11)

Option D:

n^2-50

⇒n^2-(\sqrt{50})^2

⇒(n-\sqrt{50})(n+\sqrt{50})

Therefore, the expressions which are are differences of squares are:

a^2-36, w^2-121 and n^2-50

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