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3 years ago

Factorize :3y²-54y+343

Mathematics

1 answer:

arlik [135]3 years ago

6 0

1 In general, given

+bx+c, the factored form is:

(

−

)

(

−

)

a(x−

−b+

−4ac

)(x−

−b−

−4ac

)

2 In this case,

a=3,

−

b=−54 and

343

c=343.

(

−

(

−

)

−

343

)

(

−

(

−

)

−

343

)

3(y−

2×3

54+

(−54)

−4×3×343

)(y−

2×3

54−

(−54)

−4×3×343

)

3 Simplify.

(

−

)

(

−

)

3(y−

54+20



)(y−

54−20



)

4 Factor out the common term

(

−

(

)

(

−

)

3(y−

2(27+10

)

)(y−

54−20



)

5 Simplify

(

)

2(27+10

)

27+10



(

−

)

(

−

)

3(y−

27+10



)(y−

54−20



)

6 Factor out the common term

(

−

)

(

−

(

−

)

3(y−

27+10



)(y−

2(27−10

)

)

7 Simplify

(

−

)

2(27−10

)

−

27−10



(

−

)

(

−

)

3(y−

27+10



)(y−

27−10

I hope this help you

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Factorize :3y²-54y+343​

Factorize :3y²-54y+343