Algebra

Solve for X

100

5x=10

x=2

200

25-4x=x

x=5

300

(6x-3)/10=6

x=63/6

400

25/x=x

x=5

500

35-6x=25+4x

x=1

Binomial Expansion

100

(2-x)(3+x)

=6-x-x²

200

(2x-5)(8x+5)

= 16x²-30x-25

300

(5x+3)(8-2y)

=40x-10xy+24-6y

400

(3x+4y)(2y-8x)

= 6xy+8y²-24x²-32xy

500

(4xy-3)(2x+7y)

=8x²y+28xy²-6x-21y

Difference of Two Squares

100

(x-5)(x+5)

=x²-25

200

(2x+7)(2x-7)

=4x²-49

300

(12x+8)(12x-8)

=144x²-64

400

(6x-9y)(6x+9y)

=36x²-81y²

500

(3xy-4x)(3xy+4x)

=9x²y²-16x²

Factorizing

100

9x-3

=3(x-1)

200

x²+5x+6

=(x+2)(x+3)

300

x²-10x-11

=(x+1)(x-11)

400

2x²-15x+25

=(x-5)(x-10)

500

x³+7x²-6x-42

(x²-6)(x+7)

Perfect Squares

100

(x+3)²​​​​

=x²+6x+9

200

(2x-6)²

=4x²-24x+36

300

(3x+5)²

=9x²+30x+25

400

(2x-7y)²

=4x²−28xy+49y²

500

(4x²-6y)²

=16x⁴-48x²y+36y²