Factorise x squared +2x−3

(x-1)(x+3)

Step-by-step explanation:

To factorize, let's first find two integers that have a sum of 2 and a product of -3...

3*(-1)=-3

3+(-1)=3-1=2

Then, we can split 2x into 3x and -1x...

x²-1x+3x-3

Split the equation in half, and factor each half separately...

Factoring is essentially dividing each term by their greatest common factor

x²-1x

They both have an x, so you can factor that out...

x(x-1)

3x-3

They both have a 3, so you can factor that out...

3(x-1)

x(x-1)+3(x-1)

Since both x and 3 are being multiplied by x-1, we can combine them to get...

(x-1)(x+3)

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a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.