Factor y^2-yz-6z^2

Math
y2-yz-6z2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=1⋅-6=-6 and whose sum is b=-1.
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Reorder terms.
y2-6z2-yz
Reorder -6z2 and -yz.
y2-yz-6z2
Factor -1 out of -yz.
y2-(yz)-6z2
Rewrite -1 as 2 plus -3
y2+(2-3)(yz)-6z2
Apply the distributive property.
y2+2(yz)-3(yz)-6z2
Remove unnecessary parentheses.
y2+2yz-3(yz)-6z2
Remove unnecessary parentheses.
y2+2yz-3yz-6z2
y2+2yz-3yz-6z2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(y2+2yz)-3yz-6z2
Factor out the greatest common factor (GCF) from each group.
y(y+2z)-3z(y+2z)
y(y+2z)-3z(y+2z)
Factor the polynomial by factoring out the greatest common factor, y+2z.
(y+2z)(y-3z)
Factor y^2-yz-6z^2

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