drag the tiles to the boxes to form correct pairs. not all tiles will be used. match the trinomials with…

Explanation:

Step1: Expand ((a - 4)(a - 5))

[ \begin{align*} (a - 4)(a - 5)&=a\times a+a\times(- 5)+(-4)\times a+(-4)\times(-5)\ &=a^{2}-5a-4a + 20\ &=a^{2}-9a + 20 \end{align*} ]

Step2: Expand ((a - 10)(a - 2))

[ \begin{align*} (a - 10)(a - 2)&=a\times a+a\times(-2)+(-10)\times a+(-10)\times(-2)\ &=a^{2}-2a-10a + 20\ &=a^{2}-12a + 20 \end{align*} ]

Step3: Expand ((a - 4)(a + 5))

[ \begin{align*} (a - 4)(a + 5)&=a\times a+a\times5+(-4)\times a+(-4)\times5\ &=a^{2}+5a-4a-20\ &=a^{2}+a - 20 \end{align*} ]

Step4: Expand ((a - 10)(a + 2))

[ \begin{align*} (a - 10)(a + 2)&=a\times a+a\times2+(-10)\times a+(-10)\times2\ &=a^{2}+2a-10a-20\ &=a^{2}-8a - 20 \end{align*} ]

Answer:

((a - 4)(a - 5)\to a^{2}-9a + 20) ((a - 10)(a - 2)\to a^{2}-12a + 20) ((a - 4)(a + 5)\to a^{2}+a - 20) ((a - 10)(a + 2)\to a^{2}-8a - 20)