Question

Упростите выражение 1) (6х+2)-(5х-4) 2) (3х+10)(х-2) 3) а·а^{5} ·а^{15} 4) у^{7}÷( а^{2} )в кубе

Answer 1

Должно быть так . 4 задание не особо понятно

Answer 2

1. (6x + 2) - (5x - 4) = 6x + 2 - 5x + 4 (distribute the negative sign) = 6x - 5x + 2 + 4 (group like terms) = x + 6 (combine like terms)

2. (3x + 10)(x - 2) = 3x * x + 3x * (-2) + 10 * x + 10 * (-2) (use the distributive property) = 3x^2 - 6x + 10x - 20 (multiply and combine like terms) = 3x^2 + 4x - 20 (combine like terms)

3. a · a^5 · a^15 = a^(1+5+15) (when multiplying powers with the same base, add the exponents) = a^21

4. y^7 ÷ (a^2)^3 = y^7 ÷ a^(2*3) (when dividing powers with the same base, subtract the exponents) = y^7 ÷ a^6