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JAMB Mathematics Past Questions & Answers - Page 338

1,686.

Factorize 2y² - 15xy + 18x²

(2y - 3x) (y + 6x)

(2y - 3x) (y - 6x)

(2y + 3x) (y - 6x)

(3y + 2x) (y - 6x)

View answer & explanation

Correct answer is B

2y² - 15xy + 18x²

2y² - 12xy - 3xy + 18x²

2y(y - 6x) - 3x(y - 6x)

(2y - 3x) (y - 6x)

1,687.

If gt² - k - w = 0, make g the subject of the formula

$\frac{k + w}{t^2}$

$\frac{k - w}{t^2}$

$\frac{k + w}{t}$

$\frac{k - w}{t}$

View answer & explanation

Correct answer is A

gt² - k - w = 0

gt² = k + w

$g = \frac{k + w}{t^2}$

1,688.

If P = {1,2,3,4,5} and P $\cup$ Q = {1,2,3,4,5,6,7}, list the elements in Q

{6}

{7}

{6,7}

{5,6}

View answer & explanation

Correct answer is C

Q = (P $\cup$ Q) - P
{6,7}

1,689.

Evaluate Log₂8 + Log₂16 - Log₂4

View answer & explanation

Correct answer is C

$= log_2 \frac{8 \times 16}{4}$

$= log_2 32$

$= log_2 2^5$

$= 5log_2 2$

$= 5 \times 1$

$= 5$

1,690.

Simplify $\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}$

3 $\sqrt{6} - 7$

3 $\sqrt{6} + 7$

3 $\sqrt{6} - 1$

3 $\sqrt{6} + 1$

View answer & explanation

Correct answer is A

$= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}$

$= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}$

$= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}$

$= \frac{4 - 3\sqrt{6} + 3}{-1}$

$= \frac{7 - 3\sqrt{6}}{-1}$

$= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}$

$= -7 + 3\sqrt{6}$

$= 3\sqrt{6}-7$