Factorisation by grouping
Algebraic expressions · Mathematics
Study notes
Q: Factor x^3 + x^2 + 3x + 3 and 2x^2 + 5x + 2xy + 5y. Part A: Group: (x^3 + x^2) + (3x + 3) = x^2(x + 1) + 3(x + 1) = (x^2 + 3)(x + 1). Part B: Group: (2x^2 + 5x) + (2xy + 5y) = x(2x + 5) + y(2x + 5) = (x + y)(2x + 5).