Algebra Examples

$(x^{2} - 49) + (x - 7)$

Step 1

Remove parentheses.

$x^{2} - 49 + x - 7$

Step 2

Subtract $7$ from $- 49$ .

$x^{2} + x - 56$

Step 3

Factor $x^{2} + x - 56$ using the AC method.

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Step 3.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 56$ and whose sum is $1$ .

$- 7, 8$

Step 3.2

Write the factored form using these integers.

$(x - 7) (x + 8)$