Factor completely.
-$50 x ^ { 2 } - 18 y ^ { 2 }$
A) $( 5 x - 3 y ) ( 10 x + 6 y )$
B) $( 10 x - 6 y ) ( 5 x + 3 y )$
C) $2 ( 5 x - 3 y ) ( 5 x + 3 y )$
D) $2 ( 5 x + 3 y ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The greatest common factor of 50 and 18 is 2. By factoring out 2, we get:

$$50x^2 - 18y^2 = 2(25x^2 - 9y^2)$$

Now we can recognize that this is a difference of squares, which factors as:

$$2(5x - 3y)(5x + 3y)$$

Therefore, the correct choice is C.

Factor Completely 50x2−18y250 x ^ { 2 } - 18 y ^ { 2 }50x2−18y2

Factor Completely $50 x ^ { 2 } - 18 y ^ { 2 }$