Question

(3x+5) to the power 2 - (3x-5) to the power 2

Answer 1

Answer:

Using the identity:

${x}^{2} + {y}^{2} = (x + y)(x - y)$

${(3x + 5)}^{2} - {(3x - 5)}^{2} \\ = (3x + 5 + 3x - 5) (3x + 5 - 3x + 5) \\ = 9x \times 10 \\ = 90x$ I hope this will help you.

Answer 2

Given: $(3x+5) ^{2} - (3x-5) ^{2}$

We have to solve the above equation.

• As we know that the subtraction is an arithmetic operation that represents the operation of removing objects from a collection.
• Subtraction is denoted by the minus(-) sign.
• By using the properties of subtraction, we are solving the above equation.

We are solving in the following way:

We have,

$(3x+5) ^{2} - (3x-5) ^{2}$

We know that,

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

So,

$(3x+5) ^{2} - (3x-5) ^{2}$

Solving the above equation further we get,

$=>(9x^{2} +30x+25)-(9x^{2} -30x+25)\\=>9x^{2} +30x+25-9x^{2} +30x-25\\\\=>60x$

Hence, the solution of the above equation is$60x$.