Which shows a perfect square trinomial?
a.50y^2-4x^2
b.100-36x^2y^2
c.16x^2+24xy+9y^2
d.49x^2-70xy+10y^2

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rye095 rye095 · Answer 1 · 2019-02-14T21:45:14+01:00

Answer:

Choice C is correct: 16x^2 + 24xy + 9y^2

Step-by-step explanation:

The easiest way to tell these is that if the parenthesis are exactly the same it will be a perfect square trinomial.

(4x + 3y) (4x + 3y)

16x^2 + 12xy + 12xy + 9y^2

16x^2 + 24xy + 9y^2

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jainveenamrata jainveenamrata · Answer 2 · 2022-07-23T14:02:55+02:00

The perfect square trinomial will be 16x² + 24xy + 9y². Then the correct option is C.

The perfect square trinomial is a polynomial that can be converted into binomial of two-term only with square.

Let assessment the third option.

⇒ 16x² + 24xy + 9y²

The equation can be written as,

⇒ (4x)² + 2 (4x) (3y) + (3y)²

⇒ (4x + 3y)²

Then the correct option is C.

More about the perfect square trinomial link is given below.

https://brainly.com/question/16615974

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