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Exercise

$\left(10x^2+7x^2\right)\left(10x^2-7x^2\right)$

Step-by-step Solution

1

Combining like terms $10x^2$ and $7x^2$

$17x^2\left(10x^2-7x^2\right)$
2

Combining like terms $10x^2$ and $-7x^2$

$17x^2\cdot 3x^2$
3

Multiply $17$ times $3$

$51x^2\cdot x^2$
4

When multiplying exponents with same base we can add the exponents

$51x^{4}$

Final answer to the exercise

$51x^{4}$

Try other ways to solve this exercise

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Similar Questions Solved

$\left(2x+5\right)\cdot\left(2x-5\right)$

$\left(x+3\right)\left(x-3\right)$

$\left(3x+4\right)\cdot\left(3x-4\right)$

$\left(2x+5y\right)\left(2x-5y\right)$

$\left(x+1\right)\left(x-1\right)$

$\left(1-8xy\right)\left(1+8xy\right)$

$\left(2a+5\right)\left(2a-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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