Question

Спростіть вираз (-7p+5a)2+(-7p+5a)(5a+7p)+70pa, помогииитеее​

Answer 1

Объяснение:

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Answer 2

Simplifying the Expression (-7p + 5a)^2 + (-7p + 5a)(5a + 7p) + 70pa

To simplify the given expression (-7p + 5a)^2 + (-7p + 5a)(5a + 7p) + 70pa, we'll break it down step by step.

1. Expand the expression (-7p + 5a)^2: - (-7p + 5a)^2 = (-7p + 5a)(-7p + 5a) - Using the formula (a - b)^2 = a^2 - 2ab + b^2, we can expand this to get: - (-7p + 5a)^2 = (-7p)^2 - 2(-7p)(5a) + (5a)^2 - Simplifying further: - (-7p + 5a)^2 = 49p^2 - 70pa + 25a^2

2. Expand the expression (-7p + 5a)(5a + 7p): - (-7p + 5a)(5a + 7p) - Using the distributive property, we get: - (-7p)(5a) + (-7p)(7p) + (5a)(5a) + (5a)(7p) - Simplifying this expression: - -35pa - 49p^2 + 25a^2 + 35pa - Combining like terms: - -49p^2 + 25a^2

3. Combine the terms: - Now, we can combine the expanded expressions: - (-7p + 5a)^2 + (-7p + 5a)(5a + 7p) + 70pa - Substituting the expanded forms: - 49p^2 - 70pa + 25a^2 - 49p^2 + 25a^2 + 70pa - Simplifying further: - 49p^2 - 70pa + 25a^2 - 49p^2 + 25a^2 + 70pa - The expression simplifies to: - 50a^2

So, the simplified form of the expression (-7p + 5a)^2 + (-7p + 5a)(5a + 7p) + 70pa is 50a^2.