What is expand (2a+3b+5)(2a-3b+5) ?

The solution to expand (2a+3b+5)(2a-3b+5) is 4a^2+20a-9b^2+25

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expand (2a+3b+5)(2a-3b+5)

expand

(2 a + 3 b + 5) (2 a - 3 b + 5)

4 a^{2} + 20 a - 9 b^{2} + 25

Solution steps

(2 a + 3 b + 5) (2 a - 3 b + 5)

Distribute parentheses

= 2 a \cdot 2 a + 2 a (- 3 b) + 2 a \cdot 5 + 3 b \cdot 2 a + 3 b (- 3 b) + 3 b \cdot 5 + 5 \cdot 2 a + 5 (- 3 b) + 5 \cdot 5

Simplify

2 a \cdot 2 a + 2 a (- 3 b) + 2 a \cdot 5 + 3 b \cdot 2 a + 3 b (- 3 b) + 3 b \cdot 5 + 5 \cdot 2 a + 5 (- 3 b) + 5 \cdot 5 : 4 a^{2} + 20 a - 9 b^{2} + 25

= 4 a^{2} + 20 a - 9 b^{2} + 25

x^{4} + y^{4} - 2 x^{2} y^{2}

3 x^{2} + x y - 10 y^{2}

(- 3 a^{2})^{4}

\frac{4 x ^{2} - 4 y ^{2}}{x ^{2} - 3 x y - 4 y ^{2}}

(\frac{2}{3 x + 3 y})^{3}

What is expand (2a+3b+5)(2a-3b+5) ?
The solution to expand (2a+3b+5)(2a-3b+5) is 4a^2+20a-9b^2+25