Question

plz factorise the following quadratic expression by the method of completing a square

Answer 1

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⏩i) 4y² -8y +3

Write -8y as a difference...

→ 4y² -2y-6y +3

Factor out 2y and -3 from the expression...

→ 2y(2y-1)-3(2y-1)

Now, having done with that, factor out 2y-1 from the very expression..

→ (2y-1)(2y-3)

The required factorization..

⏩ ii) p² + 6p -16

Write 6p as a difference..

→ p² +8p-2p -16

Factor out p and -2 from the expression..

→ p(p+8)-2(p+8)

Factor out p+8 from the expression..

→(p+8)(p-2)

The required factorization..

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Hope it helps...:-)

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⏩Have an adorable evening dear!!

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