Month: August 2019

Test

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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.