Algebra: equations, inequalities, variables in choices

Question 0

(x-y)^2

Answer 0

x^2-2xy+y^2

Question 1

(x+y)^2

Answer 1

x^2+2xy+y^2

Ie 4x^2+8x+4y=(2x+2y)^2=4(x+y)^2

Question 2

(x+y)(x-y)

Answer 2

(x^2-y^2)

Ie. x^4 -1= (x^2+1)(x^2-1)=(x^2+1)(x+1)(x-1)

Question 3

Even exponents

Answer 3

Anticipate 2 solutions in basic and quadratic equations

x^2=81
x^2+2x-8=0

Question 4

Easy way to multiply decimals

Answer 4

Ignore decimals and just multiply first

Then, count decimals

Question 5

Multiply or Divide by negative in inequality

Answer 5

Flip the sign

Do not multiply a variable across an inequality unless you know whether to flip the sign