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2/(a-7)(a+2)=4/(a+3)(a+2)

Sagot :

Panoyin
[tex]\frac{2}{(a - 7)(a + 2)} = \frac{4}{(a + 3)(a + 2)} [/tex]

[tex]\frac{2}{(a^{2} + 2a - 7a - 14)} = \frac{4}{(a^{2} + 2a + 3a + 6)} [/tex]

[tex]\frac{2}{a^{2} - 5a - 14} = \frac{4}{a^{2} + 5a + 6} [/tex]

[tex]2(a^{2} + 5a + 6) = 4(a^{2} - 5a - 14)[/tex]
[tex]2(a^{2}) + 2(5a) + 2(6) = 4(a^{2}) - 4(5a) - 4(14)[/tex]
[tex]2a^{2} + 10a + 12 = 4a^{2} - 20a - 56[/tex]
[tex]2a^{2} - 2a^{2} + 10a + 12 = 4a^{2} - 2a^{2} - 20a - 56[/tex]
[tex]10a + 20a + 12 = 2a^{2} - 20a + 20a - 56[/tex]
[tex]30a + 12 + 56= 2a^{2} - 56 + 56[/tex]
[tex]\frac{30a + 68}{2} = \frac{2a^{2}}{2} [/tex]
[tex]15a + 34 = a^{2}[/tex]
[tex]\sqrt{15a + 34} = a[/tex]
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