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شائع >

simplify (1+2sqrt(x))^2

الحلّ

simplify

(1 + 2 x)^{2}

الحلّ

1 + 4 x + 4 x

خطوات الحلّ

(1 + 2 x)^{2}

(a + b)^{2} = a^{2} + 2 ab + b^{2}

:فعّل صيغة الضرب المختصر

(1 + 2 x)^{2} = 1^{2} + 2 \cdot 1 \cdot 2 x + (2 x)^{2}

= 1^{2} + 2 \cdot 1 \cdot 2 x + (2 x)^{2}

1^{2} = 1

2 \cdot 1 \cdot 2 x = 4 x

(2 x)^{2} = 4 x

= 1 + 4 x + 4 x

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