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(3a +4b)²identy 6
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Most Upvoted Answer
(3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class ...
By identity
(a+b)^2 = a^2 + 2ab + b^2
Here,
a = 3a
b = 4b
Therefore we have
(3ab + 4b)^2 = (3a)^2 + 2(3a)(4b) + (4b)^2
(3ab + 4b)^2 = 9a^2 + 24ab + 16b^2
(a+b)^2 = a^2 + 2ab + b^2
Here,
a = 3a
b = 4b
Therefore we have
(3ab + 4b)^2 = (3a)^2 + 2(3a)(4b) + (4b)^2
(3ab + 4b)^2 = 9a^2 + 24ab + 16b^2
Community Answer
(3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class ...
Expanding (3a + 4b)²
- To expand the given expression (3a + 4b)², we use the formula for squaring a binomial, which is (a + b)² = a² + 2ab + b².
Using the formula
- Applying the formula to (3a + 4b)², we get:
= (3a)² + 2(3a)(4b) + (4b)²
= 9a² + 24ab + 16b²
Simplified form
- Thus, the expansion of (3a + 4b)² is 9a² + 24ab + 16b². This is the simplified form of the expression after expanding it.
Explanation of each term
- The expansion consists of three terms, each representing a part of the original expression. The first term, 9a², comes from squaring the first term of the binomial (3a). The second term, 24ab, comes from multiplying the two terms of the binomial and doubling the result. The third term, 16b², comes from squaring the second term of the binomial (4b).
Final result
- Therefore, the expanded form of (3a + 4b)² is 9a² + 24ab + 16b². This process of expanding a binomial squared helps in simplifying expressions and solving algebraic equations efficiently.
- To expand the given expression (3a + 4b)², we use the formula for squaring a binomial, which is (a + b)² = a² + 2ab + b².
Using the formula
- Applying the formula to (3a + 4b)², we get:
= (3a)² + 2(3a)(4b) + (4b)²
= 9a² + 24ab + 16b²
Simplified form
- Thus, the expansion of (3a + 4b)² is 9a² + 24ab + 16b². This is the simplified form of the expression after expanding it.
Explanation of each term
- The expansion consists of three terms, each representing a part of the original expression. The first term, 9a², comes from squaring the first term of the binomial (3a). The second term, 24ab, comes from multiplying the two terms of the binomial and doubling the result. The third term, 16b², comes from squaring the second term of the binomial (4b).
Final result
- Therefore, the expanded form of (3a + 4b)² is 9a² + 24ab + 16b². This process of expanding a binomial squared helps in simplifying expressions and solving algebraic equations efficiently.
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(3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics?
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(3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about (3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics?.
(3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about (3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (3a +4b)²identy 6 Related: Algebraic Identities - Polynomials, Class 9, Mathematics?.
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