Solutions:
Perfect Square Trinomials
- \(x^2+10x+25 = (x+5)^2\)
- \( r^2-8x+16 = (r-4)^2\)
- \((4x)^2 -48x +36 = 4(2x-3)^2\)
Difference of Two Squares
- \(121-y^2 = (11-y)(11+y)\)
- \((x-2)^2-49 = ((x-2)-7)((x-2)+7) = (x-9)(x+5)\)
Difference of Cubes
- \(8x^3-27 = (2x-3)(4x^2 + 6x +9)\)
- \(a^3 -125b^3= (a-5b)(a^2 +5ab +25b)\)
Sum of Cubes
- \(x^3 +125 = (x+5)(x^2 – 5x +25)\)
- \(m^3 + 8 = (m+2)(m^2 -2m +4)\)
- \(2x^3 +128y^3 = 2(x^3 +64y^3) = 2(x+4y)(x^2-4xy+16y)\)
Return to Practice (Factoring Trinonials)