Expand Expression: Expand the expression 4(a - b)^(2). 4(a - b)^(2) = 4(a^2 - 2ab + b^2)Distribute 4: Distribute the 4 across the terms inside the parentheses. 4(a^2 - 2ab + b^2) = 4a^2 - 8ab + 4b^2Write Original Expression: Write down the original expression with the expanded form of 4(a - b)^(2). 9a^(2) - 4(a - b)^(2) = 9a^(2) - (4a^2 - 8ab + 4b^2)Subtract Expanded Form: Subtract the expanded form from 9a^(2). 9a^(2) - (4a^2 - 8ab + 4b^2) = 9a^(2) - 4a^2 + 8ab - 4b^2Combine Like Terms: Combine like terms. 9a^(2) - 4a^2 + 8ab - 4b^2 = (9a^(2) - 4a^2) + 8ab - 4b^2 = 5a^(2) + 8ab - 4b^2

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$9 a^{2}-4(a-b)^{2}$

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Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

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9 a^{2}-4(a-b)^{2}

Expand Expression: Expand the expression $4(a - b)^{2}$ . $4(a - b)^{2} = 4(a^{2} - 2ab + b^{2})$
Distribute $4$ : Distribute the $4$ across the terms inside the parentheses. $\newline$ $4(a^2 - 2ab + b^2) = 4a^2 - 8ab + 4b^2$
Write Original Expression: Write down the original expression with the expanded form of $4(a - b)^{2}$ . $9a^{2} - 4(a - b)^{2} = 9a^{2} - (4a^2 - 8ab + 4b^2)$
Subtract Expanded Form: Subtract the expanded form from $9a^{2}$ . $\newline$ $9a^{2} - (4a^2 - 8ab + 4b^2) = 9a^{2} - 4a^2 + 8ab - 4b^2$
Combine Like Terms: Combine like terms. $\newline$ $9a^{2} - 4a^2 + 8ab - 4b^2 = (9a^{2} - 4a^2) + 8ab - 4b^2$ $\newline$ $= 5a^{2} + 8ab - 4b^2$