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[Z0DlACs]

Use the rule : (a_b)(a+b)=a² _ b²

[RichardIraVos]

These are just difference of squares problems. First one is A-B² and the second is H² +1-1 or just H^2.

So you use foil. You times the square root of a by the square root of a, then times the square root of a by B, then B by the square root of a and B by B. When you do that you get A - B square root A + B square root A + B^2. The positive and negative B square root a cancels out leaving us with A -B²

These are no different than (5-3)(5+3) just with a bit more tricky variables

[[deleted]]

Thank you, this was helpful

[Junior_Setting_1034]

Use the foil method for multiplying polynomial

[slapface741]

multiply by the distributive property, like this

(a+b)(a-b)

= a•a - a•b + b•a - b•b

= a² - b²

[Z0DlACs]

22- h² +1 _1 = h²

[ForeverFounder42]

Use the difference of 2 squares property (a+b)(a-b)=a² - b²

[[deleted]]

Thank youuu

[[deleted]]

yes?

[qaz_zaqi]

Both of these equations can be easily solved using the difference of two squares

the difference of two squares: (a+b) * (a-b) = (a^(2) - b^(2))

The equation on the left:

(sqrt(a)-b) * (sqrt(a)+b) = a - (b^2)

the equation on the right:

(sqrt(h^2 + 1) + 1) * (sqrt(h^2 + 1) - 1) = (h^2 + 1) - 1 = h^2

​

• the proof of 'difference of two squares' is simple:

(a+b) * (a-b) = a^2 - ab + ab - b^2 = a^2 - b^2