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It's maths quality answers are highly appreciated |
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Answer» STEP 1 : 1.1 Evaluate : (2a-3b)2 = 4a2-12ab+9b2 1.2 Evaluate : (3a-2b)2 = 9a2-12ab+4b2 STEP 2 : Pulling out like terms 2.1 Pull out like factors : 5b2 - 5a2 = -5 • (a2 - b2) Trying to factor as a Difference of Squares: 2.2 Factoring: a2 - b2 Theory : A difference of two perfect squares, A2 - B2 can be FACTORED into (A+B) • (A-B) Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2 Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression. Check : a2 is the square of a1 Check : b2 is the square of b1 Factorization is : (a + b) • (a - b) Final RESULT : -5 • (a + b) • (a - b)Step-by-step explanation:PLS mark me as brainliest |
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