Question

Resuelve los siguientes ejercicios de productos notables (6x+1)^2 (5a^3-11b^4)^2 (4×^2-3x+2)^2 (5a^2+3a+5)^2 (2×^2y^2+2)(2×^3y^2-2)

Answer 1

(6x + 1)² = (6x)² + 2(6x)(1) + (1)²

= 36x² + 12x + 1

(5a³ - 11b⁴)² = (5a³)² - 2(5a³)(11b⁴) + (11b⁴)²

= 25a⁶ - 110a³b⁴ + 121b⁸

(4x²-3x+2)² = (4x²)²+(-3x)²+(2)²+2(4x²)(-3x)+2(4x²)(2)+2(-3x)(2)

= 16x⁴+9x²+4-24x³+16x²-12x

= 16x⁴+24x³+25x²-12x+4

(5a²+3a+5)² = (5a²)²+(3a)²+(5)²+2(5a²)(3a)+2(5a²)(5)+2(3a)(5)

= 25a⁴+9a²+25+30a³+50a²+30a

= 25a⁴+30a³+59a²+30a+25

(2x²y² + 2)(2x²y² - 2) = (4x⁴y⁴ - 4)

= 4(x⁴y⁴ - 1)

(2x²y²+2)(2x³y²-2) = 2(x²y²+1)*2(x³y²-1)

= 4(x²y²+1)(x³y²-1)

= 4(x⁵y⁴+x³y²-x²y²-1)