Question

$(a + \sqrt{2} b) { }^{2} - 8 {b}^{2}$

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Answer 1

Raspuns:

(a-v2b)(a+3v2b)

Explicație pas cu pas:

v=radical

(a+v2b)^2-b^2

FOLOSIND FORMULA a^2-b^2=(a-b)(a+b)

DESCOMPUNE EXPRESIA

(a+v2b-v8b)(a+v2b+v8b)

SCOATE FACTORII DE SUB RADICAL

(a+v2b-2v2b)(a+v2b+8vb)

REDU TERMENII ASEMENEA

(a-v2b)(a+v2b+2v2b)=(a-v2b)(a+3v2b)