Question

Factorise t^2+2pt-35p^2​

Answer 1

${t}^{2} + 2pt \: - 35p {}^{2} \\ \\ factorise \: by \: spilitng \: the \: mid \: value \\ \\ 7 - 5 = 2 \\ 7 \times 5 = 35 \\ \\ {t}^{2} + (7 - 5)pt \: - 35 {p}^{2} \\ \\ {t}^{2} + 7pt - 5pt - 35 {p}^{2} \\ \\ t(t + 7p) - 5p(t + 7p) \\ \\ (t - 5p)(t + 7p)$

Answer 2

Step-by-step explanation:

t^2+2pt -35p^2

t^2 -5pt +7pt-35p^2

t (t-5p) +7p (t-5p)

(t-5p) (t+7p) =0

put ÷

t -5p =0

t =5p

or

t+7p=0

t= -7p

Nwgative valve is neglect so answer is t = 5p