Factor completely \[ 4 x^{2}-28 x y+49 y^{2} \]

Factor the expression $$ 4x^2-28xy+49y^2 $$. Factor the expression by following steps: - step0: Factor: $$4x^{2}-28xy+49y^{2}$$ - step1: Factor the expression: $$\left(2x-7y\right)^{2}$$ The expression $$4x^{2}-28xy+49y^{2}$$ can be factored completely as $$(2x-7y)^{2}$$. The expression $$4x^{2}-28xy+49y^{2}$$ factors completely to $$(2x-7y)^{2}$$.

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Premium

Home Question Bank Math Algebra

Question

Factor completely

Ask by Hanson Morrison. in the United States

Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression

factors completely to

Solution

Factor the expression

.
Factor the expression by following steps:

step0: Factor:
step1: Factor the expression:

The expression can be factored completely as .

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg

Explain

Simplify this solution

Extra Insights

To factor the expression

, we first look for a perfect square trinomial. The expression can be rewritten as follows:

Notice that

is the square of

and

is the square of

. The middle term

can be derived from

, indicating that the expression is indeed a perfect square:

Thus, the completely factored form of the expression is:

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