Strategy: Combine terms with identical expressions and factor like crazy.
Step 1. Combine terms with identical expressions.
5.6color(red)(x^2(y^2-z^2))-3.5color(blue)(y^2(x^2-z^2))+2.7color(red)(x^2(y^2-z^2))+4.8color(blue)(y^2(x^2-z^2))5.6x2(y2−z2)−3.5y2(x2−z2)+2.7x2(y2−z2)+4.8y2(x2−z2)
=5.6color(red)(x^2(y^2-z^2))+2.7color(red)(x^2(y^2-z^2))-3.5color(blue)(y^2(x^2-z^2))+4.8color(blue)(y^2(x^2-z^2))=5.6x2(y2−z2)+2.7x2(y2−z2)−3.5y2(x2−z2)+4.8y2(x2−z2)
Step 2. Factor like crazy.
=color(red)(x^2(y^2-z^2))(5.6+2.7)+color(blue)(y^2(x^2-z^2))(-3.5+4.8)=x2(y2−z2)(5.6+2.7)+y2(x2−z2)(−3.5+4.8)
=color(red)(x^2(y^2-z^2))8.3+color(blue)(y^2(x^2-z^2))1.3=x2(y2−z2)8.3+y2(x2−z2)1.3
=8.3x^2(y^2-z^2)+1.3y^2(x^2-z^2)=8.3x2(y2−z2)+1.3y2(x2−z2)
