Question

Factorization

a² + 2a -3
​

Answer 1

Answer:

Let's factor a2+2a−3

a2+2a−3

The middle number is 2 and the last number is -3.

Factoring means we want something like

(a+_)(a+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get 2

   Multiply together to get -3

Can you think of the two numbers?

Try -1 and 3:

   -1+3 = 2

   -1*3 = -3

Fill in the blanks in

(a+_)(a+_)

with -1 and 3 to get...

(a-1)(a+3)

Answer:

(a−1)(a+3)

Answer 2

We have to factorize a² + 2a - 3

So, we will simply solve it by middle term spilit

So, we split a² + 2a -3 as a² - a + 3a - 3

We will take common and solve further

Thus,

⟹ a² - a + 3a - 3

⟹ a(a-1) + 3 (a-1)

⟹ (a + 3)(a - 1)

Thus, the final answer is (a + 3)(a - 1).

Steps Followed :-

• We will arrange it in sequence
• In this question, it's already in sequence so we dont need to to arrange here.
• Then we do middle term split & devide the terms.
• We finally took common in this
• Fianlly we got (a+3)(a-1), & hence solved.