Ответ:
N1.
(2x-3y)²=(2x)²-2*2x*3y+(3y)²=4x²-12xy+9y²
(a²-3)²=(a²)²-2*a*3+3²=a⁴-6a+9
N2.
(5a+7b)²-70ab=(5a)²+2*5a*7b+(7b)²-70ab=25a²+70ab+49b²-70ab=25a²+49b²
(8a-b)²-64a²=(8a)²-2*8a*b+b²-64a²=64a²-16ab+b²-64a²=-16ab+b²
N3.
(3b-1)(3b+1)=9b²-1
(5b+6)(5b-6)=25b²-36
(7-1/2a)(7+1/2a)=49-1/4a²
N4.
36m²-100n²=4(9m²-25n²)=4(3m-5n)(3m+5n)
0,04x²-1,69y²=0,01(4x²-169y²)=0,01(2x-13y)(2x+13y)
1,44a²-12=0,48(3a²-25)
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Answers & Comments
Ответ:
N1.
(2x-3y)²=(2x)²-2*2x*3y+(3y)²=4x²-12xy+9y²
(a²-3)²=(a²)²-2*a*3+3²=a⁴-6a+9
N2.
(5a+7b)²-70ab=(5a)²+2*5a*7b+(7b)²-70ab=25a²+70ab+49b²-70ab=25a²+49b²
(8a-b)²-64a²=(8a)²-2*8a*b+b²-64a²=64a²-16ab+b²-64a²=-16ab+b²
N3.
(3b-1)(3b+1)=9b²-1
(5b+6)(5b-6)=25b²-36
(7-1/2a)(7+1/2a)=49-1/4a²
N4.
36m²-100n²=4(9m²-25n²)=4(3m-5n)(3m+5n)
0,04x²-1,69y²=0,01(4x²-169y²)=0,01(2x-13y)(2x+13y)
1,44a²-12=0,48(3a²-25)