Question

factories this-
${a }^{2} - { b}^{2} - {c}^{2} + 2bc$
​

Answer 1

EXPLANATION.

Do factorizes :

⇒ a² - b² - c² + 2bc.

As we know that,

We can write equation as,

⇒ a² - (b² + c² - 2bc).

As we know that,

Formula of :

⇒ (x - y)² = x² + y² - 2xy.

⇒ (x² - y²) = (x + y)(x - y).

Using this formula in the equation, we get.

⇒ a² - (b - c)².

⇒ [a + (b - c)][a - (b - c)].

⇒ [a + b - c][a - b + c].

⇒ a² - b² - c² + 2bc = (a + b - c)(a - b + c).