Ответ:
[tex]\boxed{\ (a\pm b)^2=a^2\pm 2ab+b^2\ \ ,\ \ \ (a^{n})^{k}=a^{n\cdot k}\ \ }\\\\\\(x+8)^2=x^2+2\cdot x\cdot 8+8^2=x^2+16x+64\\\\(8+y)^2=8^2+2\cdot 8\cdot y+y^2=64+16y+y^2\\\\(p+a)^2=p^2+2ap+a^2\\\\(a-7)^2=a^2-14a+49\\\\(7-c)^2=49-14c+c^2\\\\(x-15)^2=x^2-30x+225\\\\(2a-5)^2=4a^2-20a+25\\\\(7x+5)^2=49x^2+70x+25\\\\(3y-8)^2=9y^2-48y+64[/tex]
[tex](8x+y)^2=64x^2+16xy+y^2\\\\(5m-4n)^2=25m^2-40mn+16n^2\\\\(-4x+a)^2=(a-4x)^2=a^2-8ax+a^2\\\\(a^2-4)^2=a^4-8a^2+16\\\\(b+c^3)^2=b^2+2bc^3+c^6\\\\(x^2-y^2)^2=x^4-2x^2y^2+y^4[/tex]
1) a)x²+16x+64
a) a²-14a+49
a) 4a²-20a+25
a) 64x²+16xy+y²
a)a4-8a²+16
b)64+16y+y²
b)49-14c+c²
b)49x²+70x+25
b)25m²-40mn+16n²
b)b²+2bc³+c6
c)p²+2pa+a²
c)x²-30x+225
c)9y²-48y+64
c)16x²-8ax+a²
c)x4-2x²y²+y4
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Answers & Comments
Ответ:
[tex]\boxed{\ (a\pm b)^2=a^2\pm 2ab+b^2\ \ ,\ \ \ (a^{n})^{k}=a^{n\cdot k}\ \ }\\\\\\(x+8)^2=x^2+2\cdot x\cdot 8+8^2=x^2+16x+64\\\\(8+y)^2=8^2+2\cdot 8\cdot y+y^2=64+16y+y^2\\\\(p+a)^2=p^2+2ap+a^2\\\\(a-7)^2=a^2-14a+49\\\\(7-c)^2=49-14c+c^2\\\\(x-15)^2=x^2-30x+225\\\\(2a-5)^2=4a^2-20a+25\\\\(7x+5)^2=49x^2+70x+25\\\\(3y-8)^2=9y^2-48y+64[/tex]
[tex](8x+y)^2=64x^2+16xy+y^2\\\\(5m-4n)^2=25m^2-40mn+16n^2\\\\(-4x+a)^2=(a-4x)^2=a^2-8ax+a^2\\\\(a^2-4)^2=a^4-8a^2+16\\\\(b+c^3)^2=b^2+2bc^3+c^6\\\\(x^2-y^2)^2=x^4-2x^2y^2+y^4[/tex]
Ответ:
1) a)x²+16x+64
a) a²-14a+49
a) 4a²-20a+25
a) 64x²+16xy+y²
a)a4-8a²+16
b)64+16y+y²
b)49-14c+c²
b)49x²+70x+25
b)25m²-40mn+16n²
b)b²+2bc³+c6
c)p²+2pa+a²
c)x²-30x+225
c)9y²-48y+64
c)16x²-8ax+a²
c)x4-2x²y²+y4