2.03 Binomial expansion
Expand and simplify:
Complete the following:
\left(t + 2\right) \left(t + 9\right)=t \left(t + 9\right)+ ⬚ \left(⬚\right)
\left(v - 2\right) \left(v - 3\right)=v \left(v - 3\right)-⬚ \left(⬚\right)
\left(t - 2\right) \left(t + 8\right) = t \left(t + 8\right) - ⬚
State whether the following expressions are equivalent to \left(y - 5\right) \left(y - 8\right):
What expression when multiplied by n + 6 gives n^{2} + 14 n + 48?
Expand:
A student wrote \left(a+b\right)^2=a^2+b^2. Explain why they are incorrect and write the correct answer.
If the smallest of three consecutive integers is n, find the product of the three integers. Write your answer in expanded form.
Consider the rectangular prism shown with its dimensions labelled. Write an expression for the volume, and then expand and fully simplify the result.
The area of the figure below is \left(y + 3\right) \left(y + 6\right). We want to find another expression for this area by finding the sum of the areas of the four smaller rectangles.
State the area of rectangle A.
State the area of rectangle B.
State the area of rectangle C.
State the area of rectangle D.
Hence, write an equivalent expression for the area of the figure.
Find the area of a reactangle which has a length of \left(x+4\right)\text{ cm} and a width of \left(x+3\right)\text{ cm}.