Question Text
Question 1 :
State whether the statement is True or False.Evaluate: $(4x^2-5y^2)(4x^2+5y^2)$ is equal to $16x^4-25y^4$.<br/>
Question 2 :
State whether the statement is True or False.Evaluate: $(2a+3)(2a-3)(4a^2+9)$ is equal to $16a^4-81$.<br/>
Question 4 :
If $\displaystyle a^{2} + b^{2} = 34$ and $\displaystyle ab = 12$; find $\displaystyle 7 \left (a - b \right )^{2} - 2\left (a + b \right )^{2}$<br/>
Question 7 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to
Question 10 :
State whether the statement is True or False.Evaluate: $(6-5xy)(6+5xy)$ is equal to $36-25x^2y^2$.
Question 12 :
Use the product $ (a+b)(a-b) = a^2-b^2$ to evaluate:<br>$21\times 19 $
Question 13 :
State whether the statement is True or False.Evaluate: $(1.6x+0.7y)(1.6x-0.7y)$ is equal to $2.56x^2-0.49y^2$.<br/>
Question 14 :
State whether the statement is True or False.Evaluate: $(a+bc)(a-bc)(a^2+b^2c^2)$ is equal to $a^4-b^4c^4$.<br/>
Question 15 :
State whether the statement is True or False.Expand: $(a-2b)^2 $ is equal to $a^2-4ab+4b^2$.<br/>
Question 17 :
Simplify the following: <br/>$(\sqrt{3}-\sqrt{2})^{2}$ is equal to $5-2\sqrt{6}$<br/> If true then enter $1$ and if false then enter $0$<br/>
Question 18 :
$\displaystyle \left ( x-y-z \right )^{2}-\left ( x+y+z \right )^{2}$ is equal to
Question 19 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.<br/>
Question 20 :
State whether the statement is True or False.Expand: $(2a+b)^2 $ is equal to $4a^2+4ab+b^2$.<br/>