(3ab)^(2) Explanation: Simplify (3ab)^2 Use the power rule (ab)^n = a^nb^n to distribute the exponent. Raise 3 to the power of 2. 9a^2b^2
The expression (5a^2 - 6ab) is a polynomial in two variables, (a) and (b). It consists of two terms: (5a^2), which is quadratic in (a), and (-6ab), which is a product of (a) and (b) with a coefficient of (-6). This polynomial cannot be simplified further without additional information about (a) and (b).
To factor the expression (6ab + 3ac), first identify the common factors in both terms. Here, the common factor is (3a). Factoring this out gives you (3a(2b + c)). Thus, the expression (6ab + 3ac) can be rewritten as (3a(2b + c)).
12ab+3ab=15ab
0.3333
1ab
(3ab)^(2) Explanation: Simplify (3ab)^2 Use the power rule (ab)^n = a^nb^n to distribute the exponent. Raise 3 to the power of 2. 9a^2b^2
To simplify the expression 6a^2 - 6ab + 7a^2, first combine like terms. Combine the terms with the same variable (a) raised to the same power. This results in 13a^2 - 6ab as the simplified expression. Remember to keep the terms in standard form with the variable term first, followed by any constant terms.
Assuming that non-leading numbers are exponents, the expression becomes12a^2b + 8a - 5a^2b + 2ab - 4ab^2 + 6ab - 2a - 3ab= 7a^2b + 6a + 5ab - 4ab^2= a*(7ab + 6 + 5b - 4b^2)
No, 6ab and 4ba are not like terms. Like terms are terms that have the same variables raised to the same powers. In this case, the terms have the same variables, 'a' and 'b', but the order in which they appear is different. Therefore, they are not considered like terms in algebraic expressions.
The expression (5a^2 - 6ab) is a polynomial in two variables, (a) and (b). It consists of two terms: (5a^2), which is quadratic in (a), and (-6ab), which is a product of (a) and (b) with a coefficient of (-6). This polynomial cannot be simplified further without additional information about (a) and (b).
Factorizing 3ab + 3ac gives 3a (b + c).Factorizing is to express a number or expression as a product of factors.When factorizing always look for common factors. To factorize (3ab + 3ac) look for the highest factor between the two terms (3a). 3ab + 3ac = 3a (b + c)
To factor the expression (6ab + 3ac), first identify the common factors in both terms. Here, the common factor is (3a). Factoring this out gives you (3a(2b + c)). Thus, the expression (6ab + 3ac) can be rewritten as (3a(2b + c)).
Since 3a is a factor of 6ab, it is automatically the GCF.
2a-3ab = -1
5a2 + 6ab=a(5a+6b)
6ab-3b factorize = 3