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Algebraic expressions (Part 2): ExponentsDISTRIBUTIVE LAW & MIXED CONSOLIDATIONSimplify the following expression:7d2โˆ’2d2(4d2+3dโˆ’5)7๐‘‘2โˆ’2๐‘‘2(4๐‘‘2+3๐‘‘โˆ’5)INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for d2๐‘‘2 type d^2.Answer: 2 attempts remaining

Question

Algebraic expressions (Part 2): ExponentsDISTRIBUTIVE LAW & MIXED CONSOLIDATIONSimplify the following expression:7d2โˆ’2d2(4d2+3dโˆ’5)7๐‘‘2โˆ’2๐‘‘2(4๐‘‘2+3๐‘‘โˆ’5)INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for d2๐‘‘2 type d^2.Answer: 2 attempts remaining

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Solution

The first step is to distribute the -2d^2 into the parentheses:

7d^2 - 2d^2 * 4d^2 - 2d^2 * 3d + 2d^2 * 5

This simplifies to:

7d^2 - 8d^4 - 6d^3 + 10d^2

Next, combine like terms:

-8d^4 - 6d^3 + 17d^2

So, the simplified form of the expression 7d^2 - 2d^2(4d^2 + 3d - 5) is -8d^4 - 6d^3 + 17d^2.

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Algebraic expressions (Part 2): ExponentsDISTRIBUTIVE LAW & MIXED CONSOLIDATIONSimplify the following expression:7d2โˆ’2d2(4d2+3dโˆ’5)7๐‘‘2โˆ’2๐‘‘2(4๐‘‘2+3๐‘‘โˆ’5)INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for d2๐‘‘2 type d^2.Answer: 2 attempts remaining

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