Question 1

Factorise $-6x^{2}+2x+20$ completely.

Accepted Answer

$-2\left ( 3x+5 \right )\left ( x-2 \right )$

Answer

$\left ( 3x+5 \right )\left (-2x-4 \right )$

Answer

$\left ( 3x+5 \right )\left ( x-2 \right )$

Answer

$\left ( -6x-10 \right )\left ( x-2 \right )$

Question 2

Expand and simplify $\left ( 5c+6 \right )\left ( 6c-5 \right )-\left ( 3-2x \right )\left ( 1-15c \right )$

Accepted Answer

$58c-33$

Answer

$60c^{2}-36c-33$

Answer

$58c+33$

Answer

$60c^{2}-36c+30$

Question 3

Expand $\left ( \frac{g}{2}-\frac{h}{4} \right )\left ( \frac{h}{4}+\frac{g}{2} \right )$

Accepted Answer

$\frac{g^{2}}{4}-\frac{h^{2}}{16}$

Answer

$-\frac{g^{2}}{4}+\frac{h^{2}}{16}$

Answer

$\frac{g^{2}}{4}+\frac{h^{2}}{16}$

Answer

$\frac{g^{2}}{4}-\frac{h^{2}}{8}$

Question 4

Factorise $\left ( 3g-h \right )^{2}-g^{2}$ completely.

Accepted Answer

$\left ( 2g-h \right )\left ( 4g-h \right )$

Answer

$\left ( 3g-h \right )\left ( 3g+h \right )$

Answer

$\left ( 2g-h \right )^{2}$

Answer

$\left ( 2g-h \right )\left ( 2g+h \right )$

Question 5

Factorise $a^{2}x-12by-3bx+4a^{2}y$

Accepted Answer

$\left ( x+4y \right )\left ( a^{2}-3b \right )$

Answer

$\left ( x+4y \right )-\left ( a^{2}-3b \right )$

Answer

$\left ( x^{2}+16y^{2} \right )\left ( a^{2}-3b \right )$

Answer

$a^{2}\left ( x+4y \right )-3b\left ( 4y+x \right )$

Question 6

Expand $\left ( h-2k \right )\left ( 2h+3k-1 \right )$

Accepted Answer

$2h^{2}-6k^{2}-hk-h+2k$

Answer

$2h^{2}+k^{2}-hk-h+2k$

Answer

$2h^{2}+k^{2}-hk-h-2k$

Answer

$2h^{2}-6k^{2}+hk-h+2k$

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