Question

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ФСУ. 7 класс

Answer 1

$1. \ 4-y^2=(2-y)(2+y) \\ 2. \ b^2-c^2 = (b-c)(b+c) \\ 3. \ 4a^2-25 = (2a-5)(2a+5) \\ 4. \ 25x^2-y^2 = (5x-y)(5x+y) \\ 5. \ x^2y^2-4 = (xy-2)(xy+2) \\ 6. \ 100+25n^2 = 25(4+n^2) \\ 7. \ 1,21p^2-a^6=(1,1p-a^3)(1,1p+a^3) \\ 8. \ x^2-1 = (x-1)(x+1) \\ 9. \ 0,25a^2-1 =(0,5a-1)(0,5a+1) \\ 10. \ 100x^4-9y^1^0 = (10x^2-3y^5)(10x^2+3y^5)$

Answer 2

4 - y² = 2² - y² = (2 - y)(2 + y)

b² - c² = (b - c)(b + c)

4a² - 25 = (2a)² - 5² = (2a - 5)(2a + 5)

25x² - y² = ( 5x)² - y² = (5x - y)(5x + y)

x²y² - 4 = (xy)² - 2² = (xy - 2)(xy + 2)

y⁴ - x² = (y²)² - x² = (y² - x)(y² + x)

25x² - 49y² = (5x)² - (7y)² = (5x - 7y)(5x + 7y)

100 + 25n² = 25(4 + n²)

1,21p² - a⁶ = (1,1p)² - (a³)² = (1,1p - a³)(1,1p + a³)

x² - 1 = (x - 1)(x + 1)

0,25a² - 1 = (0,5a)² - 1² = (0,5a - 1)(0,5a + 1)

100x⁴ - 9y¹⁰ = (10x²)² - (3y⁵)² = (10x² - 3y⁵)(10x² + 3y⁵)