Question

(2a-7b)(7b+2a) полное решение пж

Answer 1

=14ab-49b²+4a²-14ab=-49b²+4a²

Answer 2

To find the product of the given expression (2a-7b)(7b+2a), we can use the distributive property of multiplication over addition. This property states that the product of two binomials can be found by multiplying each term of the first binomial by each term of the second binomial and then combining like terms. Let's perform the multiplication step by step:

Step 1: Multiply the first terms of each binomial. (2a) * (7b) = 14ab

Step 2: Multiply the first term of the first binomial by the second term of the second binomial. (2a) * (2a) = 4a^2

Step 3: Multiply the second term of the first binomial by the first term of the second binomial. (-7b) * (7b) = -49b^2

Step 4: Multiply the second terms of each binomial. (-7b) * (2a) = -14ab

Now, let's combine like terms:

Step 5: Add all the terms together. (14ab) + (4a^2) + (-49b^2) + (-14ab)

Step 6: Simplify the expression by combining like terms. (14ab - 14ab) + 4a^2 - 49b^2

Step 7: The "14ab - 14ab" term cancels out, leaving us with: 4a^2 - 49b^2

So, the complete solution for (2a-7b)(7b+2a) is: 4a^2 - 49b^2