Question

completely factor the expression by grouping, if possible.

\\7xy - 3 + 4x^2 - 3x\\

Explanation:

Rearrange the terms

Using the Factoring by Grouping knowledge point

$$ 7xy - 3x + 4x^2 - 3 $$

Group the terms into pairs

Using the Factoring by Grouping knowledge point

$$ (7xy - 3x) + (4x^2 - 3) $$

Factor out the greatest common factor from each group

Using the Greatest Common Factor knowledge point

$$ x(7y - 3) + 1(4x^2 - 3) $$

Analyze the common binomial factor

Using the Factoring by Grouping knowledge point

$$ \text{No common binomial factor exists, and other rearrangements yield no common factors.} $$

Conclude factorability

Using the Factoring by Grouping knowledge point

$$ \text{The expression cannot be factored by grouping.} $$

Answer:

Not Factorable