Question

Question in a photo​

Answer 1

Your Question:

Simplify

${(2 \sqrt{5} + 2 \sqrt{3} }^{2}$

Solution:

${(2 \sqrt{5} + 2 \sqrt{3} }^{2} \\ = {2 \sqrt{5} }^{2} + {2 \sqrt{3} }^{2} + 2(2 \sqrt{5} )(2 \sqrt{3} ) \: \: \: ( {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ = 20 + 12 + 8 \sqrt{15} \\ = 32 + 8 \sqrt{15}$

Formulas Used:

• (a+b)²=a²+b²+2ab

Other Formulas:

• (a − b)² = a² + b² − 2ab.
• a² − b² = (a − b) (a + b)
• (x + a) (x + b) = x² + (a + b) x + ab.
• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.

Conclusion:

Option "c" is the correct answer.

Answer 2

Answer:

option c is correct

Step-by-step explanation:

(2√5+2√3)²

=(2√5)²+(2√3)²+2(2√5)(2√3)

=(4×5)+(4×3)+8√15

=20+12+8√15

=32+8√15