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yulyashka [42]
3 years ago
15

LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

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Simplify (5x-7) (2x+3) (7x-8)
Natali5045456 [20]

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

3 0
3 years ago
Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
trasher [3.6K]

Answer:

Uriel's stick is LONGER by 7/24 feet

Step-by-step explanation:

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

The above question is solved as

Uriel's stick - Nat's stick

= 3 2/3 feet - 3 3/8 feet

= 7/24 feet

Hence, Uriel's stick is LONGER by 7/24 feet

5 0
3 years ago
The discount on a toy is 40% the toy robot is on sale for $54 find the original price
maria [59]

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

\frac{54}{y} :\frac{60}{100}

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

5 0
3 years ago
Read 2 more answers
(−9+6.8−1.2)·(−0.49−0.51)
zmey [24]

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

6 0
3 years ago
Read 2 more answers
What is the slope of the linear model x 1 2 3 4 5 6 7 y 12 12 9 10 6 8 6
tigry1 [53]
Sorry that is not a linear model. There is not a constant rate of change. Are you sure you copied it correctly
7 0
3 years ago
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