28x²+24xy-27y²
I am looking for 2 numbers that add to 24 and multiply to -28*27
a+b=24 and ab=-28*27
solving this simultaneously I get a and b are -18 and 42
$$\\28x^2-18xy+42xy-27y^2\\
=2x(14x-9y)+3y(14x-9y)\\
=(2x+3y)(14x-9y)$$
B
$$\\28x^2+24xy-27y^2-6x-9y\\
=(2x+3y)(14x-9y)-3(2x+3y)\\
=(2x+3y)(14x-9y-3)$$
28x²+24xy-27y²
I am looking for 2 numbers that add to 24 and multiply to -28*27
a+b=24 and ab=-28*27
solving this simultaneously I get a and b are -18 and 42
$$\\28x^2-18xy+42xy-27y^2\\
=2x(14x-9y)+3y(14x-9y)\\
=(2x+3y)(14x-9y)$$
B
$$\\28x^2+24xy-27y^2-6x-9y\\
=(2x+3y)(14x-9y)-3(2x+3y)\\
=(2x+3y)(14x-9y-3)$$