1. а) (a-7)(a+7)=a²-7²=a²-49
б) (8+b)(b-8)=(b+8)(b-8)=b²-8²=b²-64
в) (4c²-5)(5+4c²)=(4c²)²-5²=16c⁴-25
2. а) (x-2)²=x²-2×x×2+2²=x²-4x+4
б) (y+7)²=y²+2×y×7+7²=y²+14y+14
в) (3p-1)²=(3p)²-2×3p×1+1²=9p²6p+1
г) (3+2q²)²=3²+2×3×2q²+(2q²)²=9+12q²+4q⁴=4q⁴+12q²+9
3. а) (d+3)(d²-3d+9)=(d+3)(d²-3d+3²)=d³+3³=d³+27
б) (c-4)(c²+4c+16)=(c-4)(c²+4c+4²)=c³-4³=c³-64
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Answers & Comments
1. а) (a-7)(a+7)=a²-7²=a²-49
б) (8+b)(b-8)=(b+8)(b-8)=b²-8²=b²-64
в) (4c²-5)(5+4c²)=(4c²)²-5²=16c⁴-25
2. а) (x-2)²=x²-2×x×2+2²=x²-4x+4
б) (y+7)²=y²+2×y×7+7²=y²+14y+14
в) (3p-1)²=(3p)²-2×3p×1+1²=9p²6p+1
г) (3+2q²)²=3²+2×3×2q²+(2q²)²=9+12q²+4q⁴=4q⁴+12q²+9
3. а) (d+3)(d²-3d+9)=(d+3)(d²-3d+3²)=d³+3³=d³+27
б) (c-4)(c²+4c+16)=(c-4)(c²+4c+4²)=c³-4³=c³-64