Factor 40zw+8x^2w-35z-7x^2

$40 z w + 8 x^{2} w - 35 z - 7 x^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(40 z w + 8 x^{2} w) - 35 z - 7 x^{2}$

Factor out the greatest common factor (GCF) from each group.

$8 w (5 z + x^{2}) - 7 (5 z + x^{2})$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 z + x^{2}$ .

$(5 z + x^{2}) (8 w - 7)$