This matches the three-term identity where the term containing variable b must be negative because both cross-product terms that include b have a minus sign in the expression.
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We express 27 as 30 – 3 and utilize the subtraction square identity. Squaring the terms and subtracting their double cross-product leaves the final calculation of 729.
We change 41 into 40 + 1 and apply the addition square identity. Squaring 40 and 1, then adding twice their product gives the plain numerical solution.
We split the middle term 7x into 3x plus 4x. Factoring the expressions in pairs gives the two linear binomial factors which are (2x + 1) and (3x + 2).
We split the middle term minus 11x into minus 15x plus 4x. Factoring by grouping yields the two expressions, filling the blanks with the number 3 and the term 5x.