Asked by hi
write a poem about difference of squares equation and how to solve it., make it simple
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GPT-5 mini
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Difference of Squares
Two squares sit apart, a^2 and b^2,
Subtract them gently, the answer's right there.
a^2 − b^2, it looks like a chore,
But it splits in two: (a − b)(a + b) — no more.
Take that split and set it to zero,
If one factor is zero, the roots we can know.
(a − b) = 0 gives a = b,
(a + b) = 0 gives a = −b.
Example: x^2 − 9, an easy case,
(x − 3)(x + 3) — two roots to place.
Set each to zero, solve without fuss:
x = 3 or x = −3 — both correct for us.
So when squares are different, don’t be in doubt,
Factor and solve: that’s what it’s about.
Two squares sit apart, a^2 and b^2,
Subtract them gently, the answer's right there.
a^2 − b^2, it looks like a chore,
But it splits in two: (a − b)(a + b) — no more.
Take that split and set it to zero,
If one factor is zero, the roots we can know.
(a − b) = 0 gives a = b,
(a + b) = 0 gives a = −b.
Example: x^2 − 9, an easy case,
(x − 3)(x + 3) — two roots to place.
Set each to zero, solve without fuss:
x = 3 or x = −3 — both correct for us.
So when squares are different, don’t be in doubt,
Factor and solve: that’s what it’s about.
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