Question

f) 6x² + 13xy - 5y²

Explanation:

Step1: Split middle term

Rewrite $13xy$ as $15xy - 2xy$:
$6x^2 + 15xy - 2xy - 5y^2$

Step2: Group terms

Pair first two and last two terms:
$(6x^2 + 15xy) + (-2xy - 5y^2)$

Step3: Factor out GCFs

Factor GCF from each group:
$3x(2x + 5y) - y(2x + 5y)$

Step4: Factor common binomial

Extract $(2x + 5y)$:
$(3x - y)(2x + 5y)$

Answer:

$(3x - y)(2x + 5y)$