Explicación paso a paso:
Formula de binomio al cuadrado:
(a ± b)² = a² ± 2ab + b²
Resolvamos:
1.
(3x-6)² = (3x)² - 2(3x)(6) + (6)²
(3x-6)² = 9x²-36x+36
2.
(-5x+y)² = (-5x)² + 2(-5x)(y) + (y)²
(-5x+y)² = 25x²-10xy+y²
3.
(-x³-5)² = (-x³)² - 2(-x³)(5) + (5)²
(-x³-5)² = x⁶+10x³+25
4.
(4/3x-9/7)² = (4/3x)² - 2(4/3x)(9/7) + (9/7)²
(4/3x-9/7)² = 16/9x²-72/21x+81/49
(4/3x-9/7)² = 16/9x²-24/7x+81/49
Formula de binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
5.
(3+4x)³ = (3)³ + 3(3)²(4x) + 3(3)(4x)² + (4x)³
(3+4x)³ = 27+108x+144x²+64x³
6.
(2y-1)³ = (2y)³ - 3(2y)²(1) + 3(2y)(1)² - (1)³
(2y-1)³ = 8y³-12y²+6y-1
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Verified answer
Explicación paso a paso:
Formula de binomio al cuadrado:
(a ± b)² = a² ± 2ab + b²
Resolvamos:
1.
(3x-6)² = (3x)² - 2(3x)(6) + (6)²
(3x-6)² = 9x²-36x+36
2.
(-5x+y)² = (-5x)² + 2(-5x)(y) + (y)²
(-5x+y)² = 25x²-10xy+y²
3.
(-x³-5)² = (-x³)² - 2(-x³)(5) + (5)²
(-x³-5)² = x⁶+10x³+25
4.
(4/3x-9/7)² = (4/3x)² - 2(4/3x)(9/7) + (9/7)²
(4/3x-9/7)² = 16/9x²-72/21x+81/49
(4/3x-9/7)² = 16/9x²-24/7x+81/49
Formula de binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
Resolvamos:
5.
(3+4x)³ = (3)³ + 3(3)²(4x) + 3(3)(4x)² + (4x)³
(3+4x)³ = 27+108x+144x²+64x³
6.
(2y-1)³ = (2y)³ - 3(2y)²(1) + 3(2y)(1)² - (1)³
(2y-1)³ = 8y³-12y²+6y-1