Subjects algebra

Expression Translation 321Eef

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1. **Stating the problem:** We need to translate the phrase "A number times itself then 4 is added to it, then subtract four times itself" into an algebraic expression and identify which option matches it. 2. **Understanding the phrase:** - "A number times itself" means $x \times x = x^2$. - "then 4 is added to it" means $x^2 + 4$. - "then subtract four times itself" means subtract $4x$ from the previous result. 3. **Writing the expression:** $$x^2 + 4 - 4x$$ 4. **Rearranging the expression:** $$x^2 - 4x + 4$$ 5. **Recognizing the expression:** This is a perfect square trinomial, which factors as: $$ (x - 2)^2 $$ 6. **Conclusion:** The expression matches option B) $(x - 2)^2$. **Final answer:** B) $(x - 2)^2$