Question

write 35 middle terms splitting questions with solution​

Answer 1

Step-by-step explanation:

1). 35 = 30 + 5 ;

2). 35 = 25 + 10 ;

3). 35 = 20 + 15 ;

4). -35 = -34 - 1

etc..

${x}^{2} + 35x + 150 \\ = {x}^{2} + 30x + 5x + 150 \\ = x(x + 30) + 5(x + 30) \\ = (x + 30)(x + 5)$

2)

${x}^{2} + 35x + 250 \\ = {x}^{2} + 25x + 10x + 250 \\ = x(x + 25) + 10(x + 25) \\ = (x + 10)(x + 25)$

3)

$20 {x}^{2} + 35x + 15 \\ = 20 {x}^{2} + 20x + 15x + 15 \\ = 20x(x + 1) + 15(x + 1) \\ = (20x + 15)(x + 1) \\ = 5(4x + 3)(x + 1)$

4)

${x}^{2} - 35x + 34 \\ = {x}^{2} - 34x - x + 34 \\ = x(x - 34) - 1(x - 34) \\ = (x - 1)(x - 34)$

Hence, the solution.