Question

Factorize 3 (2x-y)^ + 14 (2x-y) +8 by splitting the middle term

Answer 1

Final Answer : (2x-y+4)(6x-3y+2)

Steps :
1) Let t = 2x-y

Given equation is:
${3(2x - y)}^{2} + 14(2x - y) + 8 \\ = > 3 {t}^{2} + 14t + 8 \\ = > 3 {t}^{2} + 12t + 2t + 8 \\ = > 3t(t + 4) + 2(t + 4) \\ = > (t + 4)(3t + 2) \\ = > (2x - y + 4)(6x - 3y + 2)$