\(ex.\,\,Pull\\,out\,\,the\,\,GCF.\)The GCF of variables is simply the lowest numbered exponent of each variable.
\(50x^{5}y^{4} + 45x^{4}y^{3} \)
\(50: 50 \div 1 = 50 \,\, 50 \div 2 = 25 \,\, 50 \div 5 = 10 \,\, 50 \div 10 = \underline{5} \)
\(45: 45 \div 1 = 45 \,\, 45 \div 3 = 15 \,\, 45 \div 5 = 9 \,\, 45 \div 9 = \underline{5}\)
\(GCF = 5x^{4}y^{3}\)
\(\dfrac{50x^{5}y^{4}}{5x^{4}y^{3}} + \dfrac{45x^{4}y^{3}}{5x^{4}y^{3}} = 10xy + 9\)
\(so\)
\(5x^{4}y^{3}(10xy + 9)\)
