Mnożenie sum algebraicznych
1. Wykonaj potęgowania.
a) (x+3)² (2+m)² (n+m)² (c+d)²
b) (c-5)² (7-a)² (m-n)² (k-l)²
2. a) (3a+2c)² b) (5x+3y)² c) (2a+4b)²
d) (2x²+4xy)² e) (x+√3)² f) (√5+y)²
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1)a) (x+3)² = x ²+ 2x * 3 + 3²
(2+m)² = 2² + 2*2*m + m²
(n+m)² = n ² + 2n * m + m²
(c+d)² = c² + 2c * d + d²
b) (c-5)²= c² - 2c * 5 + 5²
(7-a)²= 7 ² - 2 * 7 * a + a ²
(m-n)² = m² - 2m * n + n ²
(k-l)² = k² - 2k * l + l²
2) a) (3a+2c)² = 3a² + 2 * 3a * 2c + 2c²
b) (5x+3y)² = 5x ² + 2* 5x * 3y + 3y ²
c) (2a+4b)² = 2a² + 2 * 2a * 4b + 4b²
d) (2x²+4xy)² = 2x(do potęgi 4 ) + 2 * 2x ² * 4xy + 4xy²
e) (x+√3)² = x² + 2* x *√3 + (√3)²
f) (√5+y)² = (√5) ² + 2 * √5 * y + y²