Write Expression: First, write down the expression to be squared. (3/5a + 4/7)^2Apply Formula: Now, apply the formula (a + b)^2 = a^2 + 2ab + b^2 to the expression. (3/5a)^2 + 2*(3/5a)*(4/7) + (4/7)^2Calculate Terms: Calculate each term separately. (3/5a)^2 = (3^2/5^2)*a^2 = 9/25a^2 2*(3/5a)*(4/7) = 2*(3*4)/(5*7)*a = 24/35a (4/7)^2 = 16/49Combine Final Answer: Combine all the terms to get the final answer. 9/25a^2 + 24/35a + 16/49

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$\left(\frac{3}{5}a+\frac{4}{7}\right)^2$

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Math Problems

Algebra 1

Add and subtract polynomials

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\left(\frac{3}{5}a+\frac{4}{7}\right)^2

Write Expression: First, write down the expression to be squared. $\newline$ $(\frac{3}{5}a + \frac{4}{7})^2$
Apply Formula: Now, apply the formula $(a + b)^2 = a^2 + 2ab + b^2$ to the expression. $(\frac{3}{5}a)^2 + 2\cdot(\frac{3}{5}a)\cdot(\frac{4}{7}) + (\frac{4}{7})^2$
Calculate Terms: Calculate each term separately. $\newline$ $(\frac{3}{5}a)^2 = (\frac{3^2}{5^2})a^2 = \frac{9}{25}a^2$ $\newline$ $2\cdot(\frac{3}{5}a)\cdot(\frac{4}{7}) = 2\cdot(\frac{3\cdot4}{5\cdot7})a = \frac{24}{35}a$ $\newline$ $(\frac{4}{7})^2 = \frac{16}{49}$
Combine Final Answer: Combine all the terms to get the final answer. $\frac{9}{25}a^2 + \frac{24}{35}a + \frac{16}{49}$