Question

Выполните умножение (3а-b)(2b+4a)Преобразуйте в многочлен (4y-5x) во 2 степени Упростите выражение -3a в 5 степени b 2 степени умножить (7a в 3 степени)во 2 степени

Answer 1

1)6ab+12a^2-4ab-2b^2=12a^2+2ab-2b^2
2)16y^2-40xy+25x^2
3)-147a^11b^2

Answer 2

Умножение (3a-b)(2b+4a): To perform the multiplication of the given expressions (3a-b) and (2b+4a), we can use the distributive property to expand the expression. The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac.

Let's start by multiplying the terms in the first expression (3a-b) by each term in the second expression (2b+4a), and then combining like terms.

(3a - b)(2b + 4a) = 3a(2b) + 3a(4a) - b(2b) - b(4a) (using the distributive property) = 6ab + 12a^2 - 2b^2 - 4ab = 12a^2 + 6ab - 2b^2 - 4ab = 12a^2 + (6ab - 4ab) - 2b^2 = 12a^2 + 2ab - 2b^2

So, the result of the multiplication (3a-b)(2b+4a) is 12a^2 + 2ab - 2b^2.

Преобразуйте в многочлен (4y-5x) во 2 степени: To expand the expression (4y-5x) to the power of 2, we can use the formula for squaring a binomial, which is (a-b)^2 = a^2 - 2ab + b^2.

(4y - 5x)^2 = (4y)^2 - 2*(4y)*(5x) + (-5x)^2 = 16y^2 - 40xy + 25x^2

So, the expression (4y-5x) squared is 16y^2 - 40xy + 25x^2.

Упростите выражение -3a в 5 степени * b в 2 степени умножить (7a в 3 степени) во 2 степени: To simplify the given expression, we can first calculate the powers of the individual terms and then perform the multiplication.

(-3a)^5 * b^2 * (7a)^3 = (-243a^5) * b^2 * (343a^3) = -243 * 343 * a^5 * a^3 * b^2 = -83249a^8 * b^2

So, the simplified expression is -83249a^8 * b^2.