Question

Разложите на множители выражение.СРОЧНО ДАЮ 15 БАЛЛОВ!!!!!!​

Answer 1

Ответ:

$a) \bigg (\dfrac{8x^{2}}{5}-0,09y^{4} \bigg ) \bigg (\dfrac{8x^{2}}{5}+0,09y^{4} \bigg )$

Пошаговое объяснение:

$a^{2}-b^{2}=(a-b)(a+b);$

$\dfrac{64x^{4}}{25}-0,0081y^{8}=\dfrac{8^{2} \cdot x^{2 \cdot 2}}{5^{2}}-\dfrac{81}{10000} \cdot y^{4 \cdot 2}=\dfrac{8^{2} \cdot (x^{2})^{2}}{5^{2}}-\dfrac{9^{2}}{100^{2}} \cdot (y^{4})^{2}=\dfrac{(8x^{2})^{2}}{5^{2}}-$

$-\bigg (\dfrac{9}{100} \bigg )^{2} \cdot (y^{4})^{2}=\bigg (\dfrac{8x^{2}}{5} \bigg )^{2}-(0,09y^{4})^{2}=\bigg (\dfrac{8x^{2}}{5}-0,09y^{4} \bigg ) \bigg (\dfrac{8x^{2}}{5}+0,09y^{4} \bigg );$