Question

factoring by grouping
6x² + 5xy + 24x + 20y

Explanation:

Step1: Group terms into pairs

Group terms with common factors:
$(6x^2 + 24x) + (5xy + 20y)$

Step2: Factor out GCF from each pair

Factor greatest common factor from each group:
$6x(x + 4) + 5y(x + 4)$

Step3: Factor out shared binomial factor

Extract the common binomial factor $(x+4)$:
$(x + 4)(6x + 5y)$

Answer:

$(x + 4)(6x + 5y)$