Difference of squares: Using multiple rules

Solve the exercise:

^{$(x+3)(x-3)+(x+1)(x-1)=0$}

$±\sqrt{5}$

Is the value of the following equation true or false?

$x^4-16=(x^2-4)(4+x^2)$

True

Solve the exercise:

^{$x^4-16=(x-2)(x-2)(2+x)(2+x)$}

±2

Find $a ,b$ such that:

$(a+b)(a-b)=(a+b)^2$

$a=-b$ o

$0=b$

$(x+5)(x+3)=x^2-3^2$

Is the equation a true or false statement?

Lie

$(3y+4a)^2-9(y-2a)(y+2a)=\text{?}$

$4a(6y+13a)$

$(\frac{2}{3}+\frac{m}{4})^2-\frac{4}{3}-(\frac{m}{4}-\frac{2}{3})^2=\text{?}$

$\frac{(\sqrt{2m}+2)(\sqrt{2m}-2)}{3}$

$(\frac{x}{3}-4)^2+x(\frac{\sqrt{8x}}{3}+2)(\frac{\sqrt{8x}}{3}-2)=\text{?}$

$x^2-6\frac{2}{3}x+16$