Test – OnlineTuition.com.my

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.