Question

4p²-8p+3 factorize it
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Answer 1

Step-by-step explanation:

4p^2- 6p-2p+3=0

2p(2p-3)-1(2p-3)=0

(2p-3)(2p-1)=0

p=3/2 , 1/2

Answer 2

Answer:

$\bold\red{(2p-1)(2p-3)}$

Step-by-step explanation:

Given,

$4 {p}^{2} - 8p + 3$

Now,

On Middle term splitting,

we get,

$= 4 {p}^{2} - (6p + 2p) + 3 \\ \\ = 4 {p}^{2} - 2p - 6p + 3$

Now,

Taking common terms,

we get,

$= 2p(2p - 1) - 3(2p - 1) \\ \\ = (2p - 1)(2p - 3)$

Hence,

Factors are

$\bold{(2p - 1)(2p - 3)}$