Question

A)3x⁴-48x²y²б) 3x²-48xy+192y²​

Answer 1

Ответ:

Объяснение:

a)3x⁴-48x²y²=3x²(x-4y)(x+4y)

б) 3x²-48xy+192y²​=3(x²-16xy+64)=3(x-8)²=3(x-8)(x-8)

Answer 2

Ответ:

Разложим выражение на множители

а)

$3 {x}^{4} - 48 {x}^{2} y {}^{2} = 3 {x}^{2} ( {x}^{2} - 16 {y}^{2} ) = 3 {x}^{2} (x - 4y)(x + 4y)$

б)

$3 {x}^{2} - 48xy + 192 {y}^{2} = 3( {x}^{2} - 16xy + 64 {y}^{2} ) = 3(x - {8y}^{2} )$

Объяснение:

В (а) используем формулу а²-b²=(a-b)(a+b)

В (б) используем формулу (а²-2ab+b²)=(a-b)²

Answer 3

It looks like you have two algebraic expressions: A) 3x⁴ - 48x²y² and B) 3x² - 48xy + 192y². If you have a specific question or task related to these expressions, please let me know, and I'll be happy to assist you further. For now, I can provide some general information about these expressions.

Expression A) 3x⁴ - 48x²y²:

• This is a polynomial expression with two variables, x and y.
• It consists of two terms: 3x⁴ and -48x²y².
• The first term, 3x⁴, is a monomial (a single term) and is a fourth-degree polynomial in x.
• The second term, -48x²y², is also a monomial and contains both x and y, each raised to the second power.
• You can factor this expression further if needed.

Expression B) 3x² - 48xy + 192y²:

• This is another polynomial expression with two variables, x and y.
• It consists of three terms: 3x², -48xy, and 192y².
• The first term, 3x², is a monomial and is a second-degree polynomial in x.
• The second term, -48xy, is a binomial (two terms separated by a minus sign) and contains both x and y, each raised to the first power.
• The third term, 192y², is a monomial and is a second-degree polynomial in y.
• You can also factor this expression further or perform operations like simplification or expansion.

If you have specific questions or tasks related to these expressions, please provide more details, and I'll be happy to assist you further.