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ss7ja [257]
3 years ago
14

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha

t it cannot be factored into a perfect square.

Mathematics
2 answers:
kifflom [539]3 years ago
5 0

Answer:

Option A. (9x - 12)²

Step-by-step explanation:

We will factorize the given polynomial into perfect square.

The polynomial is 81x²- 216x + 144

We will take 9 common out of this polynomial first

81x² - 216x + 144 = 9(9x² - 24x + 16)

= 9[(3x)² - 2(3)(4)x + 4²]

= 9[(3x - 4)²

= 3²(3x - 4)²

= (9x - 12)²

Therefore, Option A. (9x - 12)² is the answer.

kkurt [141]3 years ago
3 0

Answer:

A. =(9x-12)^2

Step-by-step explanation:

We need to determine whether the polynomial 81x^2-216x+144 can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

81x^2-216x+144

=9(9x^2-24x+12)

=9(9x^2-12x-12x+12)

=9(3x(3x-4)-4(3x-4))

=9(3x-4)(3x-4)

=9(3x-4)^2

=3^2(3x-4)^2

=(3(3x-4))^2

=(9x-12)^2

Hence choice A. =(9x-12)^2 is correct.

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