<span>1)
</span>9х²-12х+5 = ((3х)² - 2·3х·2+2²) - 2² + 5 = (3х-2)²+1<span>;
65+16с</span>² +с⁴ = с⁴+16с+65 = ((с²)² + 2·с²·8 + 8²)-8²+65 = (с²-8)² -64+65=
= (с²-8)²+1<span>;
4а</span>² – 40а + 1 = ((2а)² - 2·2а·10+10²)-10²+1 = (2а-10)² - 100+1=(2а-10)²-99.
<span>
m</span>² +5mn + n² = (m²+2mn+n²) - 2mn+5mn = (m+n)²+3mn.
<span>
х</span>² - 6ху+у² = (x²-2xy+y²)+2xy-6xy = (x-y)² - 4xy.
<span>
9а</span>²+7аb+4b² = ((3a)²+2·3a·2b+(2b)²) -12ab+7ab = (3a+2b)²-5ab.
<span>
2)
• (5а— 3b) + (6b – 7b+4c) = </span>5а— 3b + 6b – 7b+4c = 5a - 4b + 4c.
<span>
• (6у – 8x+9z) – (11z – 13х + 4у) = </span>6у – 8x+9z – 11z + 13х - 4у =
<span>= 5x + 2y - 2z.
• 3х(5х – у) – 5у(2у-7х) = </span>15x² – 3xу – 10y² + 35xy = 15x²+32xy-10y².
<span>
• (7a – 9b)(4b + 3a) = 28ab-36b</span>²+21a²-27ab = 21a²+ab-36b².
<span>
• (7m –10)(2 – 9m) = 14m-20-63m</span>²+90m = -63m²+104m-20.
<span>
• (3c – 4b) = 3c - 4b.</span>
15х-стоимость 15 тетрадей
2у - стоимость 2 ручек
15х+2у рубле стоимость покупки
Полагаю здесь нужно разложить на множители
1. 49 - x² = (7 - x)(7 + x)
2. 4 - x² = (2 - x)(2 + x)
3. 16x² - 9 = (4x - 3)(4x + 3)
4. (5x + 2)² = 25x² + 20x + 4
5. (7x + 1)² = 49x² + 14x + 1
6. 64x² - 9 = (8x - 3)(8x + 3)
7. 25x² - 20x + 4 = (5x - 2)²
8. 16y² + 24y + 9 = (4y + 3)²
9. (0.2y - x)(0.2y + x) = 0.04y² - x²
10. 2x + x² + 1 = (x + 1)²
11. 8x + 16 + x² = (x + 4)²
12. (7 + x)(7 - x) = 49 - x²
13. -y⁸ + x² = (x - y⁴)(x + y⁴)
14. (x + 0.4)² = x² + 0.8x + 0.16
15. (a + 1)(a² - a + 1) = a³ + 1
16. (a - 3)(a² + 3a + 9) = a³ - 27
17. 64 - a³ = (4 - a)(16 + 4a + a²)
18. a³ + 1000 = (a + 10)(a² - 10a + 100)
19. (x - 1)³ = x³ - 3x² + 3x - 1
20. (1 - x)³ = 1 - 3x + 3x² - x³
