Question

1. 10 formulae of algebra.​

Answer 1

Answer:

(x–y–z)² = x² + y² + z² –2xy+2yz–2xz. x³ + y³ + z³ –3xyz =(x+y+z)(x² + y² + z² –xy–yz−xz) x² + y² =12[(x+y)² + (x–y)²] (x+a)(x+b)(x+c) =x3+(a+b+c)x² + (ab+bc+ca)x+abc

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Answer 2

Answer:

Algebra Formula

When as students we started learning mathematics, it was all about numbers. Natural numbers, whole numbers, integrals. Then we started learning about mathematical functions like addition, subtraction, BODMAS and so on. And then suddenly from class 8 onwards or so, mathematics had alphabets and letters! And so our introduction to algebra began. Today, we will focus on algebra and algebra formula. !

Step-by-step explanation:

$a² – b² = (a-b)(a+b)</p><p></p><p>(a+b)² = a² + 2ab + b²</p><p></p><p>(a-b)² = a² – 2ab + b²</p><p></p><p>a² + b² = (a-b)² +2ab</p><p></p><p>(a+b+c)² = a²+b²+c²+2ab+2ac+2bc</p><p></p><p>(a-b-c)² = a²+b²+c²-2ab-2ac+2bc</p><p></p><p>a³-b³ = (a-b) (a² + ab + b²)</p><p></p><p>a³+b³ = (a+b) (a² – ab + b²)</p><p></p><p>(a+b)³ = a³+ 3a²b + 3ab² + b³</p><p></p><p>(a-b)³ = a³- 3a²b + 3ab² – b³</p><p></p><p>“n” is a natural number, an – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)</p><p></p><p>“n” is a even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)</p><p></p><p>“n” is \: an \: odd \: number  \: an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)</p><p></p><p>(am)(an) = am+n (ab)m = amn</p><p></p><p>$

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