Question

Answer Quick

Factor what the image says

Answer 1

49u² - 154u + 121 factored is (7u - 11)²

Explanation:

To factor the given quadratic expression, 49u² - 154u + 121, rewrite in the form a² - 2ab + b².

Rewrite 49 as 7² and 121 as 11²:

`\implies 7^2u^2-154u+11^2`

`\textsf{Apply the exponent rule} \quad a^n \cdot c^n=(ac)^n:`

`\implies (7u)^2-154u+11^2`

Rewrite 154u as 2 · 7u · 11 :

`\implies (7u)^2-2 \cdot 7u \cdot 11+11^2`

Compare with the form a² - 2ab + b²:

• a = 7u
• b = 11

Apply the perfect square formula: a² - 2ab + b² = (a - b)²

`\implies (7u)^2-2 \cdot 7u \cdot 11+11^2=(7u-11)^2`