Odpowiedź:
1) (1+5y)²=1²+2*1*5y+(5y)²=1+10y+25y²
2)(2x-4)²=(2x)²-2*2x*4+4²=4x²-16x+16
3)(3x+2y)²=(3x)²+2*3x*2y+(2y)²=9x²+12xy+4y²
4)(7x-4z)²=(7x)²-2*7x*4z+(4z)²=49x²-56xz+16z²
5)(5x+12)²=(5x)²+2*5x*12+12²=25x²+120x+144
6)(7x+5a)²=(7x)²+2*7x*5a+(5a)²=49x²+70ax+25a²
7)36-x²=(6+x)(6-x)
8) 100x²-81=(10x+9)(10x-9)
9)25x²-9y²=(5x+3y)(5x-3y)
Szczegółowe wyjaśnienie:
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2. (2x-4)^2 = 4x^2 - 8x + 16
3. (3x + 2y)^2 = 9x^2 + 12xy + 4y^2
4. (7x-4z)^2 = 49x^2 - 56xz + 16z^2
5. (5x + 12)^2 = 25x^2 + 60x + 144
6. (7x + 5a)^2 = 49x^2 + 70ax + 25a^2
7. 36 - x^2 = (6+x)(6-x)
8. 100x^2 - 81 = (10x + 9)(10x -9)
9. 25x^2 - 9y^2 = (5x - 9y)(5x + 5y)
sory za błędy ale za szybko pisałem
Odpowiedź:
1) (1+5y)²=1²+2*1*5y+(5y)²=1+10y+25y²
2)(2x-4)²=(2x)²-2*2x*4+4²=4x²-16x+16
3)(3x+2y)²=(3x)²+2*3x*2y+(2y)²=9x²+12xy+4y²
4)(7x-4z)²=(7x)²-2*7x*4z+(4z)²=49x²-56xz+16z²
5)(5x+12)²=(5x)²+2*5x*12+12²=25x²+120x+144
6)(7x+5a)²=(7x)²+2*7x*5a+(5a)²=49x²+70ax+25a²
7)36-x²=(6+x)(6-x)
8) 100x²-81=(10x+9)(10x-9)
9)25x²-9y²=(5x+3y)(5x-3y)
Szczegółowe wyjaśnienie: