Maths-
General
Easy
Question
Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)
Hint:
The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign
The correct answer is: 16b2.
(3a − 4b)(3a + 4b) = 3a(3a + 4b) - 4b(3a + 4b)
= 3a(3a) + 3a(4b) - 4b(3a) - 4b(4b)
= 9a2 + 12ab - 12ab - 16b2
= 9a2 - 16b2
Final Answer:
Hence, the simplified form of (3𝑎 − 4𝑏)(3𝑎 + 4𝑏) is 9a2 - 16b2.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
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