Question

Hi can someone help me with this question?.. I don't understand it what so ever

Answer 1

The top and the bottom are difference of squares and the middle ones are not difference of square.

Explanation:

How you know is based off the numbers and the equation signs.

See the one at the bottom how 16 can be divided into two equal parts by 4. Unlike 5 where you can't do that. Same with the top one. Even though there is nothing in front of the y it is one and 1*1 is still one. Also if it has a minus sign in the middle as well.

Hope this helps.

Answer 2

so a normal diff of squares is (a^2-b^2)

factored it is

(a+b)(a-b)

and we know when exponents are multiplied together they’re added, so if you know that the b value is a square of a number, then look at the exponent

look at 1 y^4 is a square since y^2 x y^2 = y^4

and 144 is the square of 12

both terms can be square rooted and there is a - sign, meaning a diff of squares:

(y^2-12)(y^2+12)

the second one is the only one that is not a difference of squares

sorry i know i’m bad at explaining things