# Test

Certainly! Here are the modified questions with the updated answer formatting:

a. Factorise $$a^2 + 4a$$

$$a(a + 4)$$

b. Factorise $$3x + 4x^2$$
$$x(4x + 3)$$

c. Factorise $$4x^2 – x$$
$$x(4x – 1)$$

d. Factorise $$7x – 3x^2$$
$$x(7 – 3x)$$

e. Factorise $$2x^2 + 4x$$
$$2x(x + 2)$$

f. Factorise $$6x – 3x^2$$
$$-3x(x – 2)$$

g. Factorise $$12x + 16x^3$$
$$4x(3 + 4x^2)$$

h. Factorise $$25x^2 – 15x^3$$
$$5x^2(5 – 3x)$$

i. Factorise $$30x^3 + 10x^2$$
$$10x^2(3x + 1)$$

j. Factorise $$80y^3 – 30y^2$$
$$10y^2(8y – 3)$$

k. Factorise $$12x + 15x^2 – 18x^3$$
$$-3x(6x^2 – 5x – 4)$$

l. Factorise $$4a^3 – 6a + 8a^2$$
No further factorization possible.

Sure! Here are 10 similar questions with their corresponding factorizations:

1. Factorise $$a + hx = 2a$$

$$x = a/(2-a/h)$$

2. Factorise $$mx – b = b$$
$$x = 2b/m$$

3. Factorise $$kx + ab = cd$$
$$x = (cd – ab)/k$$

4. Factorise $$a(x – b) = c$$
$$x = (c + ab)/a$$

5. Factorise $$c(x – d) = e$$
$$x = (e + cd)/c$$

6. Factorise $$m(x + m) = n^2$$
$$x = (n^2 – m^2)/m$$

7. Factorise $$k(x – a) = t$$
$$x = t/k + a$$

8. Factorise $$h(x – h) = k$$
$$x = k/h + h$$

9. Factorise $$m(x + b) = n$$
$$x = n/m – b$$

10. Factorise $$a(x – a) = a^2$$
$$x = 2a$$

Note: Some of the equations may have constraints or restrictions on the values of variables.