Question

3)(5a+b)^2 4)(a^2+b^2)^2

Answer 1

Объяснение:

3)(5а+b)^2=25a^2+10ab+b^2

4) (a^2+b^2)^2=a^4+2a^2×b^2+b^4

Answer 2

Sure, I can help you expand these expressions. Let's start with each one:

3. $(5a+b)^2$

To expand this expression, you can use the FOIL (First, Outer, Inner, Last) method or the distributive property. Here's the expansion:

$(5a+b)^2 = (5a+b)(5a+b)$

Using FOIL:

$(5a+b)(5a+b) = 25a^2 + 5ab + 5ab + b^2$

Now, combine like terms:

$25a^2 + 10ab + b^2$

So, $(5a+b)^2$ expands to $25a^2 + 10ab + b^2$.

4. $(a^2+b^2)^2$

To expand this expression, you can use the distributive property. Here's the expansion:

$(a^2+b^2)^2 = (a^2+b^2)(a^2+b^2)$

Using the distributive property twice:

$(a^2+b^2)(a^2+b^2) = a^4 + a^2b^2 + a^2b^2 + b^4$

Now, combine like terms:

$a^4 + 2a^2b^2 + b^4$

So, $(a^2+b^2)^2$ expands to $a^4 + 2a^2b^2 + b^4$.