1.if a square lot has an area of x^2,what will happen to its area if its dimensions are equally extended by 6 units

2.(5x^4-2)(5^4+2)

pls. answer w/ sol.

1

by jkam

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1.if a square lot has an area of x^2,what will happen to its area if its dimensions are equally extended by 6 units

2.(5x^4-2)(5^4+2)

pls. answer w/ sol.

1

by jkam

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Take note that (a + b)^2 = a^2 + 2ab + b^2. How? Try deriving that from the FOIL(First, Outer, Inner, Last) Method

2. (5x^4 - 2)(5x^4 + 2) Observe that that is in the form of (a + b)(a - b).

Now, if you're familiar with a^2 - b^2, or the difference of two squares, you'll know that a^2 - b^2 can also be expressed as (a + b)(a - b). Now, our lives definitely got easier ;)

Thus, (5x^4 - 2)(5x^4 + 2) = (5x^4)^2 - (2)^2 = 25x^8 - 4

If you have any questions, don;t hesitate to ask :)