Evaluate the difference of squares

MathematicsAlgebraic IdentitiesEasy

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$99^2 - 51^2 =$

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1
Step 1

Halo Damar, mari kita selesaikan soal matematika ini bersama-sama.

Strategi Penyelesaian

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Step 2

Kita memiliki soal sembilan puluh sembilan kuadrat dikurangi lima puluh satu kuadrat. Alih-alih menghitung kuadratnya secara langsung, kita bisa menggunakan identitas selisih dua kuadrat.

$$99^2 - 51^2$$
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Step 3

Ingat bahwa a kuadrat dikurangi b kuadrat sama dengan a ditambah b dikalikan a dikurangi b. Dalam soal kita, nilai a adalah sembilan puluh sembilan dan nilai b adalah lima puluh satu.

$$a^2 - b^2 = (a + b)(a - b)$$
$$a = 99, b = 51$$
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Step 4

Sekarang, mari kita masukkan nilai-nilai tersebut ke dalam rumus tadi.

$$99^2 - 51^2 = (99 + 51)(99 - 51)$$

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About This Question

Subject
Mathematics
Topic
Algebraic Identities
Difficulty
Easy
Question Type
Open Ended

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