If a + b = 16 and a − b = 2, then ab = 1. 48 2. 56 3. 63 4. 65

Given, a + b = 16 and a - b = 2 Using identity, ⇒ (a + b)2 - (a - b)2 = 4ab ⇒ 162 - 22 = 4ab ⇒ 4ab = 256 - 4 ⇒ 4ab = 252 ⇒ ab = ⇒ ab = 63. Hence, Option 3 is the correct option.

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Mathematics

If a + b = 16 and a − b = 2, then ab =
48
56
63
65

Expansions

1 Like

Answer

Given,

a + b = 16 and a - b = 2

Using identity,

⇒ (a + b)² - (a - b)² = 4ab

⇒ 16² - 2² = 4ab

⇒ 4ab = 256 - 4

⇒ 4ab = 252

⇒ ab = $\dfrac{252}{4}$

⇒ ab = 63.

Hence, Option 3 is the correct option.

Answered By

1 Like

Mathematics

If a + b = 16 and a − b = 2, then ab =
48
56
63
65

Expansions

Answer

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48
56
63
65

Write down the following products:
(3a² - b²)(2a² + 5b²)

If a + b = 12 and ab = 35, then (a − b)² =
2
4
16
20

If $p + \dfrac{1}{p} = \dfrac{5}{2} \text{ then }p^2 + \dfrac{1}{p^2}$ =
$\dfrac{25}{4}$
$\dfrac{19}{4}$
$\dfrac{9}{4}$
$\dfrac{17}{4}$

If $x + \dfrac{1}{x} = 5$ , then $x - \dfrac{1}{x}$ =
$\pm \sqrt{21}$
$\pm \sqrt{29}$
$\pm 3$
$\pm 2$