Factor completely.
$25 x^{2} - 70 x y + 49 y^{2}$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice,
A. $25 x^{2} - 70 x y + 49 y^{2} = ◻$ (Factor completely.)
B. The polynomial is prime.

Answer

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Answer

Final Answer: $25 x^{2} - 70 x y + 49 y^{2} = (5 x - 7 y)^{2}$

Steps

Step 1 ：The given expression is a quadratic in the form of $a x^{2} - 2 a b x y + b^{2} y^{2}$ . This is a perfect square trinomial and can be factored as $(a x - b y)^{2}$ . Here, a = 5, b = 7, x = x, and y = y.

Step 2 ：So, the factored form of the given expression is $(5 x - 7 y)^{2}$ .

Step 3 ：The expanded form of the expression $(5 x - 7 y)^{2}$ is $25 x^{2} - 70 x y + 49 y^{2}$ , which is the same as the given expression.

Step 4 ：Therefore, the factored form of the given expression is indeed $(5 x - 7 y)^{2}$ .

Step 5 ：Final Answer: $25 x^{2} - 70 x y + 49 y^{2} = (5 x - 7 y)^{2}$

Factor completely.25x2−70xy+49y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice,A. 25x2−70xy+49y2=◻ (Factor completely.)B. The polynomial is prime.

Answer

Popular Problems

Factor completely.
$25 x^{2} - 70 x y + 49 y^{2}$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice,
A. $25 x^{2} - 70 x y + 49 y^{2} = ◻$ (Factor completely.)
B. The polynomial is prime.