1)
3x(x³-4x+6=3x^4-12x²+18x
2)
(x-3)(2x+1)=2x²+x-6x-3=2x²-5x-3
3)
(4a-7b)(5a+6b)=20a²+24ab-35ab-42b²=20a²-11ab-42b²
a)5a²-20ab=5a(a-4b)
b)7x³-14x^5=7x³(1-2x^2)
c)3a-3b+ax-bx=2(a-b)+x(a-b)=(a-b)(3+x)
d)
4x²-12x=0
4x(x-3)=0
X1=0 , x-3=0
X2=3
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Answers & Comments
1)
3x(x³-4x+6=3x^4-12x²+18x
2)
(x-3)(2x+1)=2x²+x-6x-3=2x²-5x-3
3)
(4a-7b)(5a+6b)=20a²+24ab-35ab-42b²=20a²-11ab-42b²
a)5a²-20ab=5a(a-4b)
b)7x³-14x^5=7x³(1-2x^2)
c)3a-3b+ax-bx=2(a-b)+x(a-b)=(a-b)(3+x)
d)
4x²-12x=0
4x(x-3)=0
X1=0 , x-3=0
X2=3