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Leni [432]
3 years ago
9

Factorize using identities (i) 1-64x³+48x²-12x

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

(1 - 4x)³

Step-by-step explanation:

The first 2 terms are a difference of cubes and factor in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

1 - 64x³

= 1³ - (4x)³

= (1 - 4x)(1 + 4x + 16x²)

Thus

1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms

= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)

= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms

= (1 - 4x)(1 + 4x + 16x² - 12x)

= (1 - 4x)(1 - 8x + 16x²) ← perfect square

= (1 - 4x)(1 - 4x)²

= (1 - 4x)³  ← in factored form

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Answer:

b.42

Step-by-step explanation:

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5 0
2 years ago
Two airplanes, which start 3{,}3003,3003, comma, 300 miles apart, fly toward each other. The two planes fly at a constant speed,
castortr0y [4]

Answer:

distance=rate*time

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r=2250/6

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Step-by-step explanation:

4 0
2 years ago
From the set {6, 7, 11}, use substitution to determine which value of x makes the equation true.
kotykmax [81]
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3 0
3 years ago
Read 2 more answers
Bobs bagels sells 10 bagels for 11.00 and Donnys bagels sells 4 beagles for 3.00. Which is a better deal
rewona [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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UkoKoshka [18]

Answer:

Step-by-step explanation:

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x mile contains 792 feet             Cross Multiply

5280 x = 792                               Divide by 5280

x = 792 / 5280

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12x/12 = 540/12

x = 45 miles / hour

6 0
2 years ago
Read 2 more answers
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