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32.
a) 3a³-48ab²=3a*(a²-16b²)=3a*(a²-(4b)²)=3a*(a-4b)(a+4b).
b) x+2y-x²-4xy-4y²=x+2y+(x²+4xy+4y²)=x+2y-(x²+2*x*2y+(2y)²)=
=(x+2y)-(x+2y)²=(x+2y)(1-(x+2y)=(x+2y)(1-x-2y).
c) (5+x)(5-x)-a*(a-2x)=25-x²-a²+2ax=25-(x²-2ax+a²)=5²-(x-a)²=(5-x+a)(5+x-a).
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Answers & Comments
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32.
a) 3a³-48ab²=3a*(a²-16b²)=3a*(a²-(4b)²)=3a*(a-4b)(a+4b).
b) x+2y-x²-4xy-4y²=x+2y+(x²+4xy+4y²)=x+2y-(x²+2*x*2y+(2y)²)=
=(x+2y)-(x+2y)²=(x+2y)(1-(x+2y)=(x+2y)(1-x-2y).
c) (5+x)(5-x)-a*(a-2x)=25-x²-a²+2ax=25-(x²-2ax+a²)=5²-(x-a)²=(5-x+a)(5+x-a).