Math, asked by rinkukumari5546, 7 months ago

factorice :6x^2+5x-6

Answers

Answered by RatanjotSingh

Answer:

Given expression is 6x

+5x−6

+9x−4x−6

3x(2x+3)−2(2x+3)

(2x+3)(3x−2).

Done by myself... please make me as Brainliest

rinkukumari5546: why there is 9x came

rinkukumari5546: can u tell me plz

rinkukumari5546: no

rinkukumari5546: and plz do copy the answers

rinkukumari5546: ok

Answered by ItzParismita

Answer:

$\sf6 {x}^{2} + 5x - 6 \\ \sf = 6 {x}^{2} + 9x - 4x - 6 \\ \sf= 3x(2x + 3) - 2(2x + 3) \\ \sf = (2x + 3)(3x - 2)$

ItzParismita: so in order to make the middle term 5x ....we have to first arrange in such a way that their sum or difference is 5x

rinkukumari5546: ok

ItzParismita: and we know that the product of 9 and 4 is also 36 ....and 9-4=5

ItzParismita: that is the reason why 9x came

ItzParismita: r u clear now?

rinkukumari5546: ok

ItzParismita: understood?

rinkukumari5546: yes

ItzParismita: now plz mark as the Brainliest

RatanjotSingh: good

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