Factorisation and Algebraic Fractions

Expand/ kembangkan  $5x\left(3-2xy\right)$  .

•  $8x-7x^2y$  

•  $15x-10x^2y$  

•  $15x-2xy$  

•  $8x-10x^2y$  

Based on the diagram above, write the area of:

Berdasarkan rajah di atas, tulis luas bagi:

Area of A = _____ units²

Area of B = _____ units²

Area of C = _____ units²

Area of D = _____ units²

(a)  

Factorise completely the $15mn^2\ –\ 40n^3p$  .
Can choice 2 answers.

•  $5n^2\left(3m\ –\ 8np\right)$  

•  $-5n^2\left(-3m+8np\right)$  

•  $-5n\left(3mn\ –\ 8n^2p\right)$  

•  $15n^2\left(m\ –\ 3np\right)$  

What value should be in each box if you need to factorize
 $x^2-8x+16$ ?

•  $p=x^2,\ q=+8x,\ r=+16$  

•  $p=x^2,\ q=+16,\ r=+8x$  

•  $p=x^2,\ q=+16,\ r=-8x$  

•  $p=x^2,\ q=-8x,\ r=+16$  

Factorise: $4xw\ +\ 12xz\ -\ 3wy-\ 9yz$  

•  $\left(4x+3y\right)\left(w-3z\right)$  

•  $\left(4x+3y\right)\left(w+3z\right)$  
  

•  $\left(4x-3y\right)\left(w+3z\right)$  
  

•  $\left(4x-3y\right)\left(w-3z\right)$  

Simplify  $\frac{2p+4}{p^2-4}$  

•  $\frac{2}{p-2}$  

•  $\frac{p}{p-2}$  

•  $\frac{2}{2-p}$  

•  $\frac{p}{p-2}$  

Express $\frac{2h+3k}{15hk}\div\frac{6h+4k}{25k^2}$ as a single fraction in its simplest form.

•  $\frac{5k}{6h}$  

•  $\frac{5\left(2h\ +\ 3k\right)}{6\left(3h\ +\ 2k\right)}$  

•  $\frac{5k\left(2h\ +\ 3k\right)}{2h\left(3h\ +\ 2k\right)}$  

•  $\frac{5k\left(2h\ +\ 3k\right)}{6h\left(3h\ +\ 2k\right)}$  

factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

The factorisation of 4x + 16 is _______

• 4(x + 4)
• 4(x - 4)
• x + 4
• 4x + 4

If (a + b)² = 65 and ab = 29, find the value of a² + b².

• 7
• 8
• 9
• 10