We read your photo as:

Verify the following equations using the distributive property: a) (-22) x [(-4) + (-5)] = [(-22) x (-4)] + [(-22) x (-5)], b) (-12) x [(3) + (-9)] = [(-12) x (3)] + [(-12) x (-9)]

Mathematics

ScanSolve AI Answer

Answers

2 parts
a

LHS = RHS\text{LHS = RHS}

b

LHS = RHS\text{LHS = RHS}

Step-by-step solution

6 steps

Here's the verification for both equations.

Part a· 3 steps

Verify (−22)×[(−4)+(−5)]=[(−22)×(−4)]+[(−22)×(−5)](-22) \times [(-4) + (-5)] = [(-22) \times (-4)] + [(-22) \times (-5)]

  1. Evaluate the Left Hand Side (LHS).

    (−22)×[(−4)+(−5)](-22) \times [(-4) + (-5)] (−22)×[−9](-22) \times [-9] 198198

  2. Evaluate the Right Hand Side (RHS).

    [(−22)×(−4)]+[(−22)×(−5)][(-22) \times (-4)] + [(-22) \times (-5)] [88]+[110][88] + [110] 198198

  3. Compare LHS and RHS.

    Since 198=198198 = 198, the equation is verified.

    LHS = RHS\boxed{\text{LHS = RHS}}

Part b

LHS = RHS\text{LHS = RHS}

Verify (−12)×[(3)+(−9)]=[(−12)×(3)]+[(−12)×(−9)](-12) \times [(3) + (-9)] = [(-12) \times (3)] + [(-12) \times (-9)]

  1. Evaluate the Left Hand Side (LHS).

    (−12)×[(3)+(−9)](-12) \times [(3) + (-9)] (−12)×[−6](-12) \times [-6] 7272

  2. Evaluate the Right Hand Side (RHS).

    [(−12)×(3)]+[(−12)×(−9)][(-12) \times (3)] + [(-12) \times (-9)] [−36]+[108][-36] + [108] 7272

  3. Compare LHS and RHS.

    Since 72=7272 = 72, the equation is verified.

    LHS = RHS\boxed{\text{LHS = RHS}}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QUse the associative property to solve the following equations: a) [(−6) + (4 + 2)], b) [3 + 7…QUse the associative property to calculate the following: a) [(−6) + (4 + 2)] b) [3 + 7 + (−5)] c)…QSolve the following multiplication problems: a) (6) × (−2) × (9) b) (−4) × (−12) × (−7)QUse the associative property to evaluate the following expressions: a) [(−6) + (4 + 2)] b) [3 + 7…QApply the associative property of addition to solve for the final value in the following problems…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp