Distribute Term 7x2: Distribute the term 7x2 across the sum (8x2+5). We apply the distributive property of multiplication over addition, which states that a(b+c)=ab+ac. So, 7x2(8x2+5)=7x2⋅8x2+7x2⋅5.
Multiply Terms: Multiply the terms 7x2 and 8x2. When multiplying terms with the same base, we add the exponents. 7x2∗8x2=(7∗8)x2+2=56x4.
Combine Results: Multiply the term 7x2 by 5.Since 5 does not have a variable, we simply multiply the coefficient by 5.7x2×5=35x2.
Combine Results: Multiply the term 7x2 by 5.Since 5 does not have a variable, we simply multiply the coefficient by 5.7x2×5=35x2.Combine the results from Step 2 and Step 3.We have already multiplied the terms, so now we just put them together.56x4+35x2 is the final simplified expression.
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