Question

Part A: Factor 2x2c2 + 3xc2 − 35c2. Show your work. (4 points) Part B: Factor x2 + 20x + 100. Show your work. (3 points) Part C: Factor x2 − 144. Show your work. (3 points)

Answer 1

$A.\\2x^2c^2+3xc^2-35c^2=c^2(2x^2+3x-35)=c^2(2x^2+10x-7x-35)\\\\=c^2[2x(x+5)-7(x+5)]=c^2(x+5)(2x-7)$


$B.\\x^2+20x+100=x^2+10x+10x+100=x(x+10)+10(x+10)\\\\=(x+10)(x+10)=(x+10)^2$


$C.\\x^2-144=x^2-12^2=(x-12)(x+12)\\\\used:\ a^2-b^2=(a-b)(a+b)$