Answer Quick Factor what the image says

Question

asked Aug 1, 2024 115k views

1 Answer

Npearson · Answer 1 · 2024-08-07T01:23:55+0000

Answer:

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:

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

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