Subjects algebra

Yigindi_Kvadrat

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Yigindi_Kvadrat


1. Dastlab, birinchi masalani ko'rib chiqamiz: $a^2 + b^2 = 9$ va $ab = 3$ 2. Bizdan $(a+b)^2$ ni topish so'ralmoqda. Formulaga ko'ra: $$(a+b)^2 = a^2 + 2ab + b^2$$ 3. Berilgan ma'lumotlarni qo'yamiz: $$(a+b)^2 = 9 + 2 \times 3 = 9 + 6 = 15$$ 4. Endi ikkinchi masalani ko'rib chiqamiz: $a^2 + 4b^2 = 20$ va $ab = 2$ 5. Bizdan $(a+2b)^2$ ni topish so'ralmoqda. Formulaga ko'ra: $$(a+2b)^2 = a^2 + 4ab + 4b^2$$ 6. Berilgan qiymatlar bilan ifodani yozamiz: $$(a+2b)^2 = (a^2 + 4b^2) + 4ab = 20 + 4 \times 2 = 20 + 8 = 28$$