$Which of the following are the factors of a^{2} + b - a b - a ?$

(a - 1) a n d (a - b)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(a + b) a n d (a - 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(a + 1) a n d (a - b)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(a + 1) a n d (a + b)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $(a - 1) a n d (a - b)$
Given the expression is $a^{2} + b - a b - a .$

The above expression can be written as $a^{2} - a b + b - a .$

Taking $a$ as a common factor from the first two terms and $- 1$ from the last two terms, we get
$a (a - b) - 1 (a - b) .$

Here, $a - b$ is a common factor. Factoring it out, we get
$(a - b) (a - 1) .$

$∴ a^{2} + b - a b - a = (a - b) (a - 1)$

Therefore, $(a - 1)$ and $(a - b)$ are factors of the given expression.

Suggest Corrections

Similar questions

Which of the following are the factors of a^{2} + b - a b - a ?

50

A, A B, B, A, O, A B, O, O, A, A B, B, A, O, A B, O, O, A, B, A, O, A B, O, O, A, A B,

B, O, A B, O, B, A, O, A B, O, O, A, A B, B, A, O, A B, O, A, A B, B, A, O, A B, O, O

\sqrt{a b + (a - b) \sqrt{a b + (a - b) \sqrt{a b + (a - b) \sqrt{a b + . . .}}}}

$a b \times a \times a b \times b$ equals

∣ ∣ ∣ ∣ ∣ \begin{matrix} b^{2} - a b & b - c & b c - a c a b - a^{2} & a - b & b^{2} - a b b c - a c & c - a & a b - a^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ =

Join BYJU'S Learning Program