Soal Aljabar

Q: If A=5p-3q and B=q-p, then the sum of A and B is...
A: A+B=5p-3q+q-p=4p-2q

Q
The result of 3(x²y+y²x-xy) subtracted from 2(xy²-yx²+xy) is...
A
2(xy²-yx²+xy)-3(x²y+y²x-xy)
=2xy²-2yx²+2xy-3x²y-3y²x+3xy
=2xy²-3y²x-2yx²-3x²y+2xy+3xy
=-xy²-5x²y+5xy

Q: The simplest form of -4-(3x-5) is...
A: -4-(3x-5)=-4-3x+5=1-3x

Q
The result of 2(a-3b)² is...
A
2(a-3b)²
=2(a²+2(a)(-3b)+(-3b)²)
=2(a²-6ab+9b²)
=2a²-12ab+18b²

Q
If (ax-1)(x+b)=(p+3)x²+5x-3, then the value of p is...
A
(ax-1)(x+b)=(p+3)x²+5x-3
(ax)(x)+(ax)(b)+(-1)(x)+(-1)(b)=(p+3)x²+5x-3
ax²+abx-x-b=(p+3)x²+5x-3
ax²+(ab-1)x-b=(p+3)x²+5x-3
from the form above,
-b=-3; b=3
ab-1=5; a(3)-1=5; 3a=6; a=2
a=p+3; 2=p+3; p=2-3=-1

Q: One of the factors of 12a²-27b² is...
A: 12a²-27b²=3(4a²-9b²)=3(2a+3b)(2a-3b)

Q
Using the factorization concept, find the value of k if 2011²+2011³=k(1+2011).
A
2011²+2011³=k(1+2011)
2011²(1+2011)=k(1+2011)
k=2011²

Q:
The simplest form of

is...

A: