2 years ago

Find the LCM of 120 and 210.

Mathematics

2 answers:

klio [65]2 years ago

7 0

Answer:

120 = 2³ × 3 × 5

210 = 2 × 3 × 5 × 7

LCM(120 ; 210) = 2³ × 3 × 5 × 7 = 840

Troyanec [42]2 years ago

4 0

Answer:

840

Step-by-step explanation:

Multiples of 120:

120, 240, 360, 480, 600, 720, 840, 960, 1080

Multiples of 210:

210, 420, 630, 840, 1050, 1260

Therefore,

LCM(120, 210) = 840

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Ber [7]

Answer:

$\frac{4a-2}{2a+1}$

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

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4a² + 4a + 1 ← is a perfect square

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Thus

$\frac{8a^2-2}{4a^2+4a+1}$

= $\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}$ ← cancel (2a + 1) on numerator/ denominator

= $\frac{2(2a-1)}{2a+1}$

= $\frac{4a-2}{2a+1}$

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